ADAPTATION IN DYNAMICAL SYSTEMS /:
"In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the p...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2011, ©2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"-- |
| Beschreibung: | 1 online resource (xvii, 410 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511860874 0511860870 9780511973437 0511973438 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn705929929 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 110307s2011 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d UPM |d IDEBK |d OCLCQ |d REDDC |d OCLCQ |d DEBSZ |d OCLCQ |d CUS |d YDXCP |d OCLCQ |d OCLCF |d OCLCO |d CDX |d UIU |d OCLCQ |d UAB |d OCLCQ |d K6U |d OCLCQ |d OCLCO |d OCLCQ |d UKAHL |d OCLCO |d SFB |d OCLCQ |d OCLCO |d OCLCL | ||
| 019 | |a 712855514 |a 741251014 |a 1171133508 |a 1172190895 |a 1433229332 | ||
| 020 | |a 9780511860874 |q (electronic bk.) | ||
| 020 | |a 0511860870 |q (electronic bk.) | ||
| 020 | |a 9780511973437 |q (electronic bk.) | ||
| 020 | |a 0511973438 |q (electronic bk.) | ||
| 020 | |z 9780521198196 | ||
| 020 | |z 0521198194 | ||
| 024 | 8 | |a 9786613006042 | |
| 024 | 8 | |a 3532355 | |
| 035 | |a (OCoLC)705929929 |z (OCoLC)712855514 |z (OCoLC)741251014 |z (OCoLC)1171133508 |z (OCoLC)1172190895 |z (OCoLC)1433229332 | ||
| 037 | |a 300604 |b MIL | ||
| 050 | 4 | |a QA845 |b .T94 2011eb | |
| 072 | 7 | |a MAT |x 007000 |2 bisacsh | |
| 072 | 7 | |a PH |2 bicssc | |
| 082 | 7 | |a 515/.39 |2 22 | |
| 084 | |a SCI055000 |2 bisacsh | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Tyukin, Ivan. | |
| 245 | 1 | 0 | |a ADAPTATION IN DYNAMICAL SYSTEMS / |c Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2011, ©2011. | ||
| 300 | |a 1 online resource (xvii, 410 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a "In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"-- |c Provided by publisher | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notational conventions -- Part I Introduction and preliminaries -- 1 Introduction -- 1.1 Observation problems -- 1.2 Regulation problems -- 1.3 Summary -- 2 Preliminaries -- 2.1 Attracting sets and attractors -- 2.2 Barbalat's lemma -- 2.3 Basic notions of stability -- 2.4 The method of Lyapunov functions -- 2.5 Linear skew-symmetric systems with time-varying coefficients -- 3 The problem of adaptation in dynamical systems -- 3.1 Logical principles of adaptation -- 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation -- 3.3 Adaptive control for nonlinear deterministic dynamical systems -- 3.4 Applicability issues of conventional methods of adaptive control and regulation -- 3.5 Summary -- Part II Theory -- 4 Input -- output analysis of uncertain dynamical systems -- 4.1 Operator description of dynamical systems -- 4.2 Inputoutput and inputstate characterizations of stable systems -- 4.3 Inputoutput and inputstate analysis of uncertain unstable systems -- 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings -- 4.5 Asymptotic properties of a class of unstable systems -- Appendix to Chapter 4 -- 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics -- 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization -- 5.2 Direct adaptive control -- 5.3 Adaptive regulation to invariant sets -- 5.4 Adaptive control of interconnected dynamical systems -- 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind -- 5.6 Parametric identification of dynamical systems with nonlinear parametrization -- Appendix to Chapter 5 -- Part III Applications -- 6 Adaptive behavior in recurrent neural networks with fixed weights -- 6.1 Signals to be classified -- 6.2 The class of recurrent neural networks -- 6.3 Assumptions and statement of the problem -- 6.4 The existence result -- 6.5 Summary -- 7 Adaptive template matching in systems for processing of visual information -- 7.1 Preliminaries and problem formulation -- 7.2 A simple adaptive system for invariant template matching -- 7.3 Examples -- 7.4 Summary -- 8 State and parameter estimation of neural oscillators -- 8.1 Observer-based approaches to the problem of stateand parameter estimation -- 8.2 The feasibility of conventional adaptive-observer canonical forms -- 8.3 Universal adaptive observers for conductance-based models -- 8.4 Examples -- 8.5 Summary -- Appendix. The MeyerKalmanYakubovich lemma -- References -- Index. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Dynamics. |0 http://id.loc.gov/authorities/subjects/sh85040316 | |
| 650 | 0 | |a Control theory |x Mathematical models. | |
| 650 | 0 | |a Neurosciences |x Mathematics. | |
| 650 | 6 | |a Dynamique. | |
| 650 | 6 | |a Théorie de la commande |x Modèles mathématiques. | |
| 650 | 6 | |a Neurosciences |x Mathématiques. | |
| 650 | 7 | |a kinetics (dynamics) |2 aat | |
| 650 | 7 | |a SCIENCE |x Physics. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Control theory |x Mathematical models |2 fast | |
| 650 | 7 | |a Dynamics |2 fast | |
| 650 | 7 | |a Neurosciences |x Mathematics |2 fast | |
| 758 | |i has work: |a Adaptation in dynamical systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRccd69gJfpKcjdCCyWpd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Tyukin, Ivan. |t ADAPTATION IN DYNAMICAL SYSTEMS. |d Cambridge : Cambridge University Press, 2011, ©2011 |z 9780521198196 |w (DLC) 2010051427 |w (OCoLC)665137573 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=347893 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13438412 | ||
| 938 | |a Coutts Information Services |b COUT |n 17410683 |c 70.00 GBP | ||
| 938 | |a ebrary |b EBRY |n ebr10449274 | ||
| 938 | |a EBSCOhost |b EBSC |n 347893 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 300604 | ||
| 938 | |a YBP Library Services |b YANK |n 3626446 | ||
| 938 | |a YBP Library Services |b YANK |n 3647348 | ||
| 938 | |a YBP Library Services |b YANK |n 5690569 | ||
| 938 | |a YBP Library Services |b YANK |n 3636321 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn705929929 |
|---|---|
| _version_ | 1816881753169592320 |
| adam_text | |
| any_adam_object | |
| author | Tyukin, Ivan |
| author_facet | Tyukin, Ivan |
| author_role | |
| author_sort | Tyukin, Ivan |
| author_variant | i t it |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA845 |
| callnumber-raw | QA845 .T94 2011eb |
| callnumber-search | QA845 .T94 2011eb |
| callnumber-sort | QA 3845 T94 42011EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notational conventions -- Part I Introduction and preliminaries -- 1 Introduction -- 1.1 Observation problems -- 1.2 Regulation problems -- 1.3 Summary -- 2 Preliminaries -- 2.1 Attracting sets and attractors -- 2.2 Barbalat's lemma -- 2.3 Basic notions of stability -- 2.4 The method of Lyapunov functions -- 2.5 Linear skew-symmetric systems with time-varying coefficients -- 3 The problem of adaptation in dynamical systems -- 3.1 Logical principles of adaptation -- 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation -- 3.3 Adaptive control for nonlinear deterministic dynamical systems -- 3.4 Applicability issues of conventional methods of adaptive control and regulation -- 3.5 Summary -- Part II Theory -- 4 Input -- output analysis of uncertain dynamical systems -- 4.1 Operator description of dynamical systems -- 4.2 Inputoutput and inputstate characterizations of stable systems -- 4.3 Inputoutput and inputstate analysis of uncertain unstable systems -- 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings -- 4.5 Asymptotic properties of a class of unstable systems -- Appendix to Chapter 4 -- 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics -- 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization -- 5.2 Direct adaptive control -- 5.3 Adaptive regulation to invariant sets -- 5.4 Adaptive control of interconnected dynamical systems -- 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind -- 5.6 Parametric identification of dynamical systems with nonlinear parametrization -- Appendix to Chapter 5 -- Part III Applications -- 6 Adaptive behavior in recurrent neural networks with fixed weights -- 6.1 Signals to be classified -- 6.2 The class of recurrent neural networks -- 6.3 Assumptions and statement of the problem -- 6.4 The existence result -- 6.5 Summary -- 7 Adaptive template matching in systems for processing of visual information -- 7.1 Preliminaries and problem formulation -- 7.2 A simple adaptive system for invariant template matching -- 7.3 Examples -- 7.4 Summary -- 8 State and parameter estimation of neural oscillators -- 8.1 Observer-based approaches to the problem of stateand parameter estimation -- 8.2 The feasibility of conventional adaptive-observer canonical forms -- 8.3 Universal adaptive observers for conductance-based models -- 8.4 Examples -- 8.5 Summary -- Appendix. The MeyerKalmanYakubovich lemma -- References -- Index. |
| ctrlnum | (OCoLC)705929929 |
| dewey-full | 515/.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.39 |
| dewey-search | 515/.39 |
| dewey-sort | 3515 239 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07103cam a2200745 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn705929929</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">110307s2011 enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">E7B</subfield><subfield code="d">UPM</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">REDDC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CUS</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCO</subfield><subfield code="d">CDX</subfield><subfield code="d">UIU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UAB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">K6U</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCO</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">712855514</subfield><subfield code="a">741251014</subfield><subfield code="a">1171133508</subfield><subfield code="a">1172190895</subfield><subfield code="a">1433229332</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511860874</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511860870</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511973437</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511973438</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521198196</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521198194</subfield></datafield><datafield tag="024" ind1="8" ind2=" "><subfield code="a">9786613006042</subfield></datafield><datafield tag="024" ind1="8" ind2=" "><subfield code="a">3532355</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)705929929</subfield><subfield code="z">(OCoLC)712855514</subfield><subfield code="z">(OCoLC)741251014</subfield><subfield code="z">(OCoLC)1171133508</subfield><subfield code="z">(OCoLC)1172190895</subfield><subfield code="z">(OCoLC)1433229332</subfield></datafield><datafield tag="037" ind1=" " ind2=" "><subfield code="a">300604</subfield><subfield code="b">MIL</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA845</subfield><subfield code="b">.T94 2011eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">PH</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">515/.39</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SCI055000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tyukin, Ivan.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">ADAPTATION IN DYNAMICAL SYSTEMS /</subfield><subfield code="c">Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2011, ©2011.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvii, 410 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"--</subfield><subfield code="c">Provided by publisher</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notational conventions -- Part I Introduction and preliminaries -- 1 Introduction -- 1.1 Observation problems -- 1.2 Regulation problems -- 1.3 Summary -- 2 Preliminaries -- 2.1 Attracting sets and attractors -- 2.2 Barbalat's lemma -- 2.3 Basic notions of stability -- 2.4 The method of Lyapunov functions -- 2.5 Linear skew-symmetric systems with time-varying coefficients -- 3 The problem of adaptation in dynamical systems -- 3.1 Logical principles of adaptation -- 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation -- 3.3 Adaptive control for nonlinear deterministic dynamical systems -- 3.4 Applicability issues of conventional methods of adaptive control and regulation -- 3.5 Summary -- Part II Theory -- 4 Input -- output analysis of uncertain dynamical systems -- 4.1 Operator description of dynamical systems -- 4.2 Inputoutput and inputstate characterizations of stable systems -- 4.3 Inputoutput and inputstate analysis of uncertain unstable systems -- 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings -- 4.5 Asymptotic properties of a class of unstable systems -- Appendix to Chapter 4 -- 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics -- 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization -- 5.2 Direct adaptive control -- 5.3 Adaptive regulation to invariant sets -- 5.4 Adaptive control of interconnected dynamical systems -- 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind -- 5.6 Parametric identification of dynamical systems with nonlinear parametrization -- Appendix to Chapter 5 -- Part III Applications -- 6 Adaptive behavior in recurrent neural networks with fixed weights -- 6.1 Signals to be classified -- 6.2 The class of recurrent neural networks -- 6.3 Assumptions and statement of the problem -- 6.4 The existence result -- 6.5 Summary -- 7 Adaptive template matching in systems for processing of visual information -- 7.1 Preliminaries and problem formulation -- 7.2 A simple adaptive system for invariant template matching -- 7.3 Examples -- 7.4 Summary -- 8 State and parameter estimation of neural oscillators -- 8.1 Observer-based approaches to the problem of stateand parameter estimation -- 8.2 The feasibility of conventional adaptive-observer canonical forms -- 8.3 Universal adaptive observers for conductance-based models -- 8.4 Examples -- 8.5 Summary -- Appendix. The MeyerKalmanYakubovich lemma -- References -- Index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Dynamics.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85040316</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Control theory</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Neurosciences</subfield><subfield code="x">Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Dynamique.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie de la commande</subfield><subfield code="x">Modèles mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Neurosciences</subfield><subfield code="x">Mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">kinetics (dynamics)</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Physics.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Differential Equations</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Control theory</subfield><subfield code="x">Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Dynamics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Neurosciences</subfield><subfield code="x">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Adaptation in dynamical systems (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGRccd69gJfpKcjdCCyWpd</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Tyukin, Ivan.</subfield><subfield code="t">ADAPTATION IN DYNAMICAL SYSTEMS.</subfield><subfield code="d">Cambridge : Cambridge University Press, 2011, ©2011</subfield><subfield code="z">9780521198196</subfield><subfield code="w">(DLC) 2010051427</subfield><subfield code="w">(OCoLC)665137573</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=347893</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH13438412</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">17410683</subfield><subfield code="c">70.00 GBP</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10449274</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">347893</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">300604</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3626446</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3647348</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">5690569</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3636321</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn705929929 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:43Z |
| institution | BVB |
| isbn | 9780511860874 0511860870 9780511973437 0511973438 |
| language | English |
| oclc_num | 705929929 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xvii, 410 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Tyukin, Ivan. ADAPTATION IN DYNAMICAL SYSTEMS / Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University. Cambridge : Cambridge University Press, 2011, ©2011. 1 online resource (xvii, 410 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier "In the context of this book, adaptation is taken to mean a feature of a system aimed at achieving the best possible performance, when mathematical models of the environment and the system itself are not fully available. This has applications ranging from theories of visual perception and the processing of information, to the more technical problems of friction compensation and adaptive classification of signals in fixed-weight recurrent neural networks. Largely devoted to the problems of adaptive regulation, tracking and identification, this book presents a unifying system-theoretic view on the problem of adaptation in dynamical systems. Special attention is given to systems with nonlinearly parameterized models of uncertainty. Concepts, methods and algorithms given in the text can be successfully employed in wider areas of science and technology. The detailed examples and background information make this book suitable for a wide range of researchers and graduates in cybernetics, mathematical modelling and neuroscience"-- Provided by publisher Includes bibliographical references and index. Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notational conventions -- Part I Introduction and preliminaries -- 1 Introduction -- 1.1 Observation problems -- 1.2 Regulation problems -- 1.3 Summary -- 2 Preliminaries -- 2.1 Attracting sets and attractors -- 2.2 Barbalat's lemma -- 2.3 Basic notions of stability -- 2.4 The method of Lyapunov functions -- 2.5 Linear skew-symmetric systems with time-varying coefficients -- 3 The problem of adaptation in dynamical systems -- 3.1 Logical principles of adaptation -- 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation -- 3.3 Adaptive control for nonlinear deterministic dynamical systems -- 3.4 Applicability issues of conventional methods of adaptive control and regulation -- 3.5 Summary -- Part II Theory -- 4 Input -- output analysis of uncertain dynamical systems -- 4.1 Operator description of dynamical systems -- 4.2 Inputoutput and inputstate characterizations of stable systems -- 4.3 Inputoutput and inputstate analysis of uncertain unstable systems -- 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings -- 4.5 Asymptotic properties of a class of unstable systems -- Appendix to Chapter 4 -- 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics -- 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization -- 5.2 Direct adaptive control -- 5.3 Adaptive regulation to invariant sets -- 5.4 Adaptive control of interconnected dynamical systems -- 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind -- 5.6 Parametric identification of dynamical systems with nonlinear parametrization -- Appendix to Chapter 5 -- Part III Applications -- 6 Adaptive behavior in recurrent neural networks with fixed weights -- 6.1 Signals to be classified -- 6.2 The class of recurrent neural networks -- 6.3 Assumptions and statement of the problem -- 6.4 The existence result -- 6.5 Summary -- 7 Adaptive template matching in systems for processing of visual information -- 7.1 Preliminaries and problem formulation -- 7.2 A simple adaptive system for invariant template matching -- 7.3 Examples -- 7.4 Summary -- 8 State and parameter estimation of neural oscillators -- 8.1 Observer-based approaches to the problem of stateand parameter estimation -- 8.2 The feasibility of conventional adaptive-observer canonical forms -- 8.3 Universal adaptive observers for conductance-based models -- 8.4 Examples -- 8.5 Summary -- Appendix. The MeyerKalmanYakubovich lemma -- References -- Index. Print version record. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Control theory Mathematical models. Neurosciences Mathematics. Dynamique. Théorie de la commande Modèles mathématiques. Neurosciences Mathématiques. kinetics (dynamics) aat SCIENCE Physics. bisacsh MATHEMATICS Differential Equations General. bisacsh Control theory Mathematical models fast Dynamics fast Neurosciences Mathematics fast has work: Adaptation in dynamical systems (Text) https://id.oclc.org/worldcat/entity/E39PCGRccd69gJfpKcjdCCyWpd https://id.oclc.org/worldcat/ontology/hasWork Print version: Tyukin, Ivan. ADAPTATION IN DYNAMICAL SYSTEMS. Cambridge : Cambridge University Press, 2011, ©2011 9780521198196 (DLC) 2010051427 (OCoLC)665137573 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=347893 Volltext |
| spellingShingle | Tyukin, Ivan ADAPTATION IN DYNAMICAL SYSTEMS / Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- Notational conventions -- Part I Introduction and preliminaries -- 1 Introduction -- 1.1 Observation problems -- 1.2 Regulation problems -- 1.3 Summary -- 2 Preliminaries -- 2.1 Attracting sets and attractors -- 2.2 Barbalat's lemma -- 2.3 Basic notions of stability -- 2.4 The method of Lyapunov functions -- 2.5 Linear skew-symmetric systems with time-varying coefficients -- 3 The problem of adaptation in dynamical systems -- 3.1 Logical principles of adaptation -- 3.2 Formal definitions of adaptation and mathematical statements of the problem of adaptation -- 3.3 Adaptive control for nonlinear deterministic dynamical systems -- 3.4 Applicability issues of conventional methods of adaptive control and regulation -- 3.5 Summary -- Part II Theory -- 4 Input -- output analysis of uncertain dynamical systems -- 4.1 Operator description of dynamical systems -- 4.2 Inputoutput and inputstate characterizations of stable systems -- 4.3 Inputoutput and inputstate analysis of uncertain unstable systems -- 4.4 Asymptotic properties of systems withlocally bounded inputoutput and inputstate mappings -- 4.5 Asymptotic properties of a class of unstable systems -- Appendix to Chapter 4 -- 5 Algorithms of adaptive regulation and adaptation in dynamical systems in the presence of nonlinear parametrization and/or possibly unstable target dynamics -- 5.1 Problems of adaptive control of nonlinear systems in the presence of nonlinear parametrization -- 5.2 Direct adaptive control -- 5.3 Adaptive regulation to invariant sets -- 5.4 Adaptive control of interconnected dynamical systems -- 5.5 Non-dominating adaptive control for dynamical systems with nonlinear parametrization of a general kind -- 5.6 Parametric identification of dynamical systems with nonlinear parametrization -- Appendix to Chapter 5 -- Part III Applications -- 6 Adaptive behavior in recurrent neural networks with fixed weights -- 6.1 Signals to be classified -- 6.2 The class of recurrent neural networks -- 6.3 Assumptions and statement of the problem -- 6.4 The existence result -- 6.5 Summary -- 7 Adaptive template matching in systems for processing of visual information -- 7.1 Preliminaries and problem formulation -- 7.2 A simple adaptive system for invariant template matching -- 7.3 Examples -- 7.4 Summary -- 8 State and parameter estimation of neural oscillators -- 8.1 Observer-based approaches to the problem of stateand parameter estimation -- 8.2 The feasibility of conventional adaptive-observer canonical forms -- 8.3 Universal adaptive observers for conductance-based models -- 8.4 Examples -- 8.5 Summary -- Appendix. The MeyerKalmanYakubovich lemma -- References -- Index. Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Control theory Mathematical models. Neurosciences Mathematics. Dynamique. Théorie de la commande Modèles mathématiques. Neurosciences Mathématiques. kinetics (dynamics) aat SCIENCE Physics. bisacsh MATHEMATICS Differential Equations General. bisacsh Control theory Mathematical models fast Dynamics fast Neurosciences Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85040316 |
| title | ADAPTATION IN DYNAMICAL SYSTEMS / |
| title_auth | ADAPTATION IN DYNAMICAL SYSTEMS / |
| title_exact_search | ADAPTATION IN DYNAMICAL SYSTEMS / |
| title_full | ADAPTATION IN DYNAMICAL SYSTEMS / Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University. |
| title_fullStr | ADAPTATION IN DYNAMICAL SYSTEMS / Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University. |
| title_full_unstemmed | ADAPTATION IN DYNAMICAL SYSTEMS / Ivan Tyukin, University of Leicester and Saint-Petersburg State Electrotechnical University. |
| title_short | ADAPTATION IN DYNAMICAL SYSTEMS / |
| title_sort | adaptation in dynamical systems |
| topic | Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Control theory Mathematical models. Neurosciences Mathematics. Dynamique. Théorie de la commande Modèles mathématiques. Neurosciences Mathématiques. kinetics (dynamics) aat SCIENCE Physics. bisacsh MATHEMATICS Differential Equations General. bisacsh Control theory Mathematical models fast Dynamics fast Neurosciences Mathematics fast |
| topic_facet | Dynamics. Control theory Mathematical models. Neurosciences Mathematics. Dynamique. Théorie de la commande Modèles mathématiques. Neurosciences Mathématiques. kinetics (dynamics) SCIENCE Physics. MATHEMATICS Differential Equations General. Control theory Mathematical models Dynamics Neurosciences Mathematics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=347893 |
| work_keys_str_mv | AT tyukinivan adaptationindynamicalsystems |