Adaptive control of parabolic PDEs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
©2010
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also .. Includes bibliographical references and index Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution |
| Beschreibung: | 1 Online-Ressource (xiii, 328 pages) |
| ISBN: | 1400835364 9781400835362 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV043087885 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 151126s2010 |||| o||u| ||||||eng d | ||
| 020 | |a 1400835364 |c electronic bk. |9 1-4008-3536-4 | ||
| 020 | |a 9781400835362 |c electronic bk. |9 978-1-4008-3536-2 | ||
| 035 | |a (OCoLC)639353561 | ||
| 035 | |a (DE-599)BVBBV043087885 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-1046 |a DE-1047 | ||
| 082 | 0 | |a 515.3534 | |
| 084 | |a SK 560 |0 (DE-625)143246: |2 rvk | ||
| 084 | |a SK 880 |0 (DE-625)143266: |2 rvk | ||
| 100 | 1 | |a Smyshlyaev, Andrey |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Adaptive control of parabolic PDEs |c Andrey Smyshlyaevand Miroslav Krstic |
| 264 | 1 | |a Princeton |b Princeton University Press |c ©2010 | |
| 300 | |a 1 Online-Ressource (xiii, 328 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also .. | ||
| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / Partial |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Applied |2 bisacsh | |
| 650 | 7 | |a Adaptive control systems |2 fast | |
| 650 | 7 | |a Differential equations, Parabolic |2 fast | |
| 650 | 7 | |a Distributed parameter systems |2 fast | |
| 650 | 4 | |a Differential equations, Parabolic | |
| 650 | 4 | |a Distributed parameter systems | |
| 650 | 4 | |a Adaptive control systems | |
| 650 | 0 | 7 | |a Regelungssystem |0 (DE-588)4134712-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Adaptives System |0 (DE-588)4247928-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Parabolische Differentialgleichung |0 (DE-588)4173245-5 |D s |
| 689 | 0 | 1 | |a Adaptives System |0 (DE-588)4247928-9 |D s |
| 689 | 0 | 2 | |a Regelungssystem |0 (DE-588)4134712-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Krstić, Miroslav |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 0-691-14286-6 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-691-14286-9 |
| 856 | 4 | 0 | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422 |x Aggregator |3 Volltext |
| 912 | |a ZDB-4-EBA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-028512077 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422 |l FAW01 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
| 966 | e | |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422 |l FAW02 |p ZDB-4-EBA |q FAW_PDA_EBA |x Aggregator |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804175486031495168 |
|---|---|
| any_adam_object | |
| author | Smyshlyaev, Andrey |
| author_facet | Smyshlyaev, Andrey |
| author_role | aut |
| author_sort | Smyshlyaev, Andrey |
| author_variant | a s as |
| building | Verbundindex |
| bvnumber | BV043087885 |
| classification_rvk | SK 560 SK 880 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)639353561 (DE-599)BVBBV043087885 |
| dewey-full | 515.3534 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3534 |
| dewey-search | 515.3534 |
| dewey-sort | 3515.3534 |
| 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>04123nmm a2200613zc 4500</leader><controlfield tag="001">BV043087885</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">151126s2010 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1400835364</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">1-4008-3536-4</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400835362</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-1-4008-3536-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)639353561</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043087885</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1046</subfield><subfield code="a">DE-1047</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.3534</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 560</subfield><subfield code="0">(DE-625)143246:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 880</subfield><subfield code="0">(DE-625)143266:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Smyshlyaev, Andrey</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Adaptive control of parabolic PDEs</subfield><subfield code="c">Andrey Smyshlyaevand Miroslav Krstic</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">©2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xiii, 328 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also ..</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential Equations / Partial</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Applied</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Adaptive control systems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differential equations, Parabolic</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Distributed parameter systems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Parabolic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distributed parameter systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Adaptive control systems</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Regelungssystem</subfield><subfield code="0">(DE-588)4134712-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Adaptives System</subfield><subfield code="0">(DE-588)4247928-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Parabolische Differentialgleichung</subfield><subfield code="0">(DE-588)4173245-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Adaptives System</subfield><subfield code="0">(DE-588)4247928-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Regelungssystem</subfield><subfield code="0">(DE-588)4134712-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Krstić, Miroslav</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">0-691-14286-6</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-691-14286-9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-028512077</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422</subfield><subfield code="l">FAW01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422</subfield><subfield code="l">FAW02</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FAW_PDA_EBA</subfield><subfield code="x">Aggregator</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043087885 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:03Z |
| institution | BVB |
| isbn | 1400835364 9781400835362 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028512077 |
| oclc_num | 639353561 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiii, 328 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Princeton University Press |
| record_format | marc |
| spelling | Smyshlyaev, Andrey Verfasser aut Adaptive control of parabolic PDEs Andrey Smyshlyaevand Miroslav Krstic Princeton Princeton University Press ©2010 1 Online-Ressource (xiii, 328 pages) txt rdacontent c rdamedia cr rdacarrier This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also .. Includes bibliographical references and index Introduction -- Nonadaptive controllers. State feedback -- Closed-form controllers -- Observers -- Output feedback -- Control of complex-valued PDEs -- Adaptive schemes. Systemization of approaches to adaptive boundary stabilization of PDEs -- Lyapunov-based designs -- Certainty equivalence design with passive identifiers -- Certainty equivalence design with swapping identifiers -- State feedback for PDEs with spatially varying coefficients -- Closed-form adaptive output-feedback controllers -- Output feedback for PDEs with spatially varying coefficients -- Inverse optimal control -- Appendex A. Adaptive backstepping for nonlinear ODEs -- the basics -- Appendix B. Poincaré and Agmon inequalities -- Appendix C. Bessel functions -- Appendix D. Barbalat's and other lemmas for proving adaptive regulation -- Appendix E. Basic parabolic PDEs and their exact solution MATHEMATICS / Differential Equations / Partial bisacsh MATHEMATICS / Applied bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast Differential equations, Parabolic Distributed parameter systems Adaptive control systems Regelungssystem (DE-588)4134712-2 gnd rswk-swf Adaptives System (DE-588)4247928-9 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Adaptives System (DE-588)4247928-9 s Regelungssystem (DE-588)4134712-2 s 1\p DE-604 Krstić, Miroslav Sonstige oth Erscheint auch als Druckausgabe 0-691-14286-6 Erscheint auch als Druckausgabe 978-0-691-14286-9 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Smyshlyaev, Andrey Adaptive control of parabolic PDEs MATHEMATICS / Differential Equations / Partial bisacsh MATHEMATICS / Applied bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast Differential equations, Parabolic Distributed parameter systems Adaptive control systems Regelungssystem (DE-588)4134712-2 gnd Adaptives System (DE-588)4247928-9 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4134712-2 (DE-588)4247928-9 (DE-588)4173245-5 |
| title | Adaptive control of parabolic PDEs |
| title_auth | Adaptive control of parabolic PDEs |
| title_exact_search | Adaptive control of parabolic PDEs |
| title_full | Adaptive control of parabolic PDEs Andrey Smyshlyaevand Miroslav Krstic |
| title_fullStr | Adaptive control of parabolic PDEs Andrey Smyshlyaevand Miroslav Krstic |
| title_full_unstemmed | Adaptive control of parabolic PDEs Andrey Smyshlyaevand Miroslav Krstic |
| title_short | Adaptive control of parabolic PDEs |
| title_sort | adaptive control of parabolic pdes |
| topic | MATHEMATICS / Differential Equations / Partial bisacsh MATHEMATICS / Applied bisacsh Adaptive control systems fast Differential equations, Parabolic fast Distributed parameter systems fast Differential equations, Parabolic Distributed parameter systems Adaptive control systems Regelungssystem (DE-588)4134712-2 gnd Adaptives System (DE-588)4247928-9 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | MATHEMATICS / Differential Equations / Partial MATHEMATICS / Applied Adaptive control systems Differential equations, Parabolic Distributed parameter systems Regelungssystem Adaptives System Parabolische Differentialgleichung |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=321422 |
| work_keys_str_mv | AT smyshlyaevandrey adaptivecontrolofparabolicpdes AT krsticmiroslav adaptivecontrolofparabolicpdes |