Hybrid Dynamical Systems :: Modeling, Stability, and Robustness.
Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems tha...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2012.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. |
| Beschreibung: | 1 online resource (227 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400842636 1400842638 |
Internformat
MARC
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| 100 | 1 | |a Goebel, Rafal, |e author. | |
| 245 | 1 | 0 | |a Hybrid Dynamical Systems : |b Modeling, Stability, and Robustness. |
| 260 | |a Princeton : |b Princeton University Press, |c 2012. | ||
| 300 | |a 1 online resource (227 pages) | ||
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| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 The modeling framework; 1.2 Examples in science and engineering; 1.3 Control system examples; 1.4 Connections to other modeling frameworks; 1.5 Notes; 2 The solution concept; 2.1 Data of a hybrid system; 2.2 Hybrid time domains and hybrid arcs; 2.3 Solutions and their basic properties; 2.4 Generators for classes of switching signals; 2.5 Notes; 3 Uniform asymptotic stability, an initial treatment; 3.1 Uniform global pre-asymptotic stability; 3.2 Lyapunov functions; 3.3 Relaxed Lyapunov conditions; 3.4 Stability from containment. | |
| 505 | 8 | |a 3.5 Equivalent characterizations3.6 Notes; 4 Perturbations and generalized solutions; 4.1 Differential and difference equations; 4.2 Systems with state perturbations; 4.3 Generalized solutions; 4.4 Measurement noise in feedback control; 4.5 Krasovskii solutions are Hermes solutions; 4.6 Notes; 5 Preliminaries from set-valued analysis; 5.1 Set convergence; 5.2 Set-valued mappings; 5.3 Graphical convergence of hybrid arcs; 5.4 Differential inclusions; 5.5 Notes; 6 Well-posed hybrid systems and their properties; 6.1 Nominally well-posed hybrid systems; 6.2 Basic assumptions on the data. | |
| 505 | 8 | |a 6.3 Consequences of nominal well-posedness6.4 Well-posed hybrid systems; 6.5 Consequences of well-posedness; 6.6 Notes; 7 Asymptotic stability, an in-depth treatment; 7.1 Pre-asymptotic stability for nominally well-posed systems; 7.2 Robustness concepts; 7.3 Well-posed systems; 7.4 Robustness corollaries; 7.5 Smooth Lyapunov functions; 7.6 Proof of robustness implies smooth Lyapunov functions; 7.7 Notes; 8 Invariance principles; 8.1 Invariance and?-limits; 8.2 Invariance principles involving Lyapunov-like functions; 8.3 Stability analysis using invariance principles. | |
| 505 | 8 | |a 8.4 Meagre-limsup invariance principles8.5 Invariance principles for switching systems; 8.6 Notes; 9 Conical approximation and asymptotic stability; 9.1 Homogeneous hybrid systems; 9.2 Homogeneity and perturbations; 9.3 Conical approximation and stability; 9.4 Notes; Appendix: List of Symbols; Bibliography; Index; B; C; D; F; G; H; I; J; K; L; M; P; Q; R; S; T; U; W. | |
| 520 | |a Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 650 | 0 | |a Automatic control. |0 http://id.loc.gov/authorities/subjects/sh85010089 | |
| 650 | 0 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658 | |
| 650 | 0 | |a Dynamics. |0 http://id.loc.gov/authorities/subjects/sh85040316 | |
| 650 | 6 | |a Commande automatique. | |
| 650 | 6 | |a Théorie de la commande. | |
| 650 | 6 | |a Dynamique. | |
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| 700 | 1 | |a Teel, Andrew R., |d 1965- |e author. |0 http://id.loc.gov/authorities/names/n2010075074 | |
| 776 | 0 | 8 | |i Print version: |a Goebel, Rafal. |t Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |d Princeton : Princeton University Press, ©2012 |z 9780691153896 |
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| author | Goebel, Rafal Sanfelice, Ricardo G. Teel, Andrew R., 1965- |
| author_GND | http://id.loc.gov/authorities/names/n2010075074 |
| author_facet | Goebel, Rafal Sanfelice, Ricardo G. Teel, Andrew R., 1965- |
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| author_sort | Goebel, Rafal |
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| callnumber-raw | QA402 .G889 2012 |
| callnumber-search | QA402 .G889 2012 |
| callnumber-sort | QA 3402 G889 42012 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 The modeling framework; 1.2 Examples in science and engineering; 1.3 Control system examples; 1.4 Connections to other modeling frameworks; 1.5 Notes; 2 The solution concept; 2.1 Data of a hybrid system; 2.2 Hybrid time domains and hybrid arcs; 2.3 Solutions and their basic properties; 2.4 Generators for classes of switching signals; 2.5 Notes; 3 Uniform asymptotic stability, an initial treatment; 3.1 Uniform global pre-asymptotic stability; 3.2 Lyapunov functions; 3.3 Relaxed Lyapunov conditions; 3.4 Stability from containment. 3.5 Equivalent characterizations3.6 Notes; 4 Perturbations and generalized solutions; 4.1 Differential and difference equations; 4.2 Systems with state perturbations; 4.3 Generalized solutions; 4.4 Measurement noise in feedback control; 4.5 Krasovskii solutions are Hermes solutions; 4.6 Notes; 5 Preliminaries from set-valued analysis; 5.1 Set convergence; 5.2 Set-valued mappings; 5.3 Graphical convergence of hybrid arcs; 5.4 Differential inclusions; 5.5 Notes; 6 Well-posed hybrid systems and their properties; 6.1 Nominally well-posed hybrid systems; 6.2 Basic assumptions on the data. 6.3 Consequences of nominal well-posedness6.4 Well-posed hybrid systems; 6.5 Consequences of well-posedness; 6.6 Notes; 7 Asymptotic stability, an in-depth treatment; 7.1 Pre-asymptotic stability for nominally well-posed systems; 7.2 Robustness concepts; 7.3 Well-posed systems; 7.4 Robustness corollaries; 7.5 Smooth Lyapunov functions; 7.6 Proof of robustness implies smooth Lyapunov functions; 7.7 Notes; 8 Invariance principles; 8.1 Invariance and?-limits; 8.2 Invariance principles involving Lyapunov-like functions; 8.3 Stability analysis using invariance principles. 8.4 Meagre-limsup invariance principles8.5 Invariance principles for switching systems; 8.6 Notes; 9 Conical approximation and asymptotic stability; 9.1 Homogeneous hybrid systems; 9.2 Homogeneity and perturbations; 9.3 Conical approximation and stability; 9.4 Notes; Appendix: List of Symbols; Bibliography; Index; B; C; D; F; G; H; I; J; K; L; M; P; Q; R; S; T; U; W. |
| ctrlnum | (OCoLC)773567198 |
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| dewey-ones | 003 - Systems |
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| dewey-search | 003.75 |
| dewey-sort | 13.75 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| format | Electronic eBook |
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Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. 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| id | ZDB-4-EBA-ocn773567198 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:18:12Z |
| institution | BVB |
| isbn | 9781400842636 1400842638 |
| language | English |
| lccn | 2011941674 |
| oclc_num | 773567198 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (227 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Princeton University Press, |
| record_format | marc |
| spelling | Goebel, Rafal, author. Hybrid Dynamical Systems : Modeling, Stability, and Robustness. Princeton : Princeton University Press, 2012. 1 online resource (227 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 The modeling framework; 1.2 Examples in science and engineering; 1.3 Control system examples; 1.4 Connections to other modeling frameworks; 1.5 Notes; 2 The solution concept; 2.1 Data of a hybrid system; 2.2 Hybrid time domains and hybrid arcs; 2.3 Solutions and their basic properties; 2.4 Generators for classes of switching signals; 2.5 Notes; 3 Uniform asymptotic stability, an initial treatment; 3.1 Uniform global pre-asymptotic stability; 3.2 Lyapunov functions; 3.3 Relaxed Lyapunov conditions; 3.4 Stability from containment. 3.5 Equivalent characterizations3.6 Notes; 4 Perturbations and generalized solutions; 4.1 Differential and difference equations; 4.2 Systems with state perturbations; 4.3 Generalized solutions; 4.4 Measurement noise in feedback control; 4.5 Krasovskii solutions are Hermes solutions; 4.6 Notes; 5 Preliminaries from set-valued analysis; 5.1 Set convergence; 5.2 Set-valued mappings; 5.3 Graphical convergence of hybrid arcs; 5.4 Differential inclusions; 5.5 Notes; 6 Well-posed hybrid systems and their properties; 6.1 Nominally well-posed hybrid systems; 6.2 Basic assumptions on the data. 6.3 Consequences of nominal well-posedness6.4 Well-posed hybrid systems; 6.5 Consequences of well-posedness; 6.6 Notes; 7 Asymptotic stability, an in-depth treatment; 7.1 Pre-asymptotic stability for nominally well-posed systems; 7.2 Robustness concepts; 7.3 Well-posed systems; 7.4 Robustness corollaries; 7.5 Smooth Lyapunov functions; 7.6 Proof of robustness implies smooth Lyapunov functions; 7.7 Notes; 8 Invariance principles; 8.1 Invariance and?-limits; 8.2 Invariance principles involving Lyapunov-like functions; 8.3 Stability analysis using invariance principles. 8.4 Meagre-limsup invariance principles8.5 Invariance principles for switching systems; 8.6 Notes; 9 Conical approximation and asymptotic stability; 9.1 Homogeneous hybrid systems; 9.2 Homogeneity and perturbations; 9.3 Conical approximation and stability; 9.4 Notes; Appendix: List of Symbols; Bibliography; Index; B; C; D; F; G; H; I; J; K; L; M; P; Q; R; S; T; U; W. Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. Includes bibliographical references and index. Automatic control. http://id.loc.gov/authorities/subjects/sh85010089 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Commande automatique. Théorie de la commande. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh MATHEMATICS Linear & Nonlinear Programming. bisacsh Automatic control fast Control theory fast Dynamics fast Sanfelice, Ricardo G., author. Teel, Andrew R., 1965- author. http://id.loc.gov/authorities/names/n2010075074 Print version: Goebel, Rafal. Hybrid Dynamical Systems : Modeling, Stability, and Robustness. Princeton : Princeton University Press, ©2012 9780691153896 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=444101 Volltext |
| spellingShingle | Goebel, Rafal Sanfelice, Ricardo G. Teel, Andrew R., 1965- Hybrid Dynamical Systems : Modeling, Stability, and Robustness. Cover; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 The modeling framework; 1.2 Examples in science and engineering; 1.3 Control system examples; 1.4 Connections to other modeling frameworks; 1.5 Notes; 2 The solution concept; 2.1 Data of a hybrid system; 2.2 Hybrid time domains and hybrid arcs; 2.3 Solutions and their basic properties; 2.4 Generators for classes of switching signals; 2.5 Notes; 3 Uniform asymptotic stability, an initial treatment; 3.1 Uniform global pre-asymptotic stability; 3.2 Lyapunov functions; 3.3 Relaxed Lyapunov conditions; 3.4 Stability from containment. 3.5 Equivalent characterizations3.6 Notes; 4 Perturbations and generalized solutions; 4.1 Differential and difference equations; 4.2 Systems with state perturbations; 4.3 Generalized solutions; 4.4 Measurement noise in feedback control; 4.5 Krasovskii solutions are Hermes solutions; 4.6 Notes; 5 Preliminaries from set-valued analysis; 5.1 Set convergence; 5.2 Set-valued mappings; 5.3 Graphical convergence of hybrid arcs; 5.4 Differential inclusions; 5.5 Notes; 6 Well-posed hybrid systems and their properties; 6.1 Nominally well-posed hybrid systems; 6.2 Basic assumptions on the data. 6.3 Consequences of nominal well-posedness6.4 Well-posed hybrid systems; 6.5 Consequences of well-posedness; 6.6 Notes; 7 Asymptotic stability, an in-depth treatment; 7.1 Pre-asymptotic stability for nominally well-posed systems; 7.2 Robustness concepts; 7.3 Well-posed systems; 7.4 Robustness corollaries; 7.5 Smooth Lyapunov functions; 7.6 Proof of robustness implies smooth Lyapunov functions; 7.7 Notes; 8 Invariance principles; 8.1 Invariance and?-limits; 8.2 Invariance principles involving Lyapunov-like functions; 8.3 Stability analysis using invariance principles. 8.4 Meagre-limsup invariance principles8.5 Invariance principles for switching systems; 8.6 Notes; 9 Conical approximation and asymptotic stability; 9.1 Homogeneous hybrid systems; 9.2 Homogeneity and perturbations; 9.3 Conical approximation and stability; 9.4 Notes; Appendix: List of Symbols; Bibliography; Index; B; C; D; F; G; H; I; J; K; L; M; P; Q; R; S; T; U; W. Automatic control. http://id.loc.gov/authorities/subjects/sh85010089 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Commande automatique. Théorie de la commande. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh MATHEMATICS Linear & Nonlinear Programming. bisacsh Automatic control fast Control theory fast Dynamics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85010089 http://id.loc.gov/authorities/subjects/sh85031658 http://id.loc.gov/authorities/subjects/sh85040316 |
| title | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_auth | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_exact_search | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_full | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_fullStr | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_full_unstemmed | Hybrid Dynamical Systems : Modeling, Stability, and Robustness. |
| title_short | Hybrid Dynamical Systems : |
| title_sort | hybrid dynamical systems modeling stability and robustness |
| title_sub | Modeling, Stability, and Robustness. |
| topic | Automatic control. http://id.loc.gov/authorities/subjects/sh85010089 Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Commande automatique. Théorie de la commande. Dynamique. kinetics (dynamics) aat SCIENCE System Theory. bisacsh MATHEMATICS Linear & Nonlinear Programming. bisacsh Automatic control fast Control theory fast Dynamics fast |
| topic_facet | Automatic control. Control theory. Dynamics. Commande automatique. Théorie de la commande. Dynamique. kinetics (dynamics) SCIENCE System Theory. MATHEMATICS Linear & Nonlinear Programming. Automatic control Control theory Dynamics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=444101 |
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