Exact and approximate controllability for distributed parameter systems :: a numerical approach /
"The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior of such systems mathematically and computationally." "A thorough mathematical analysis of controllability proble...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2008.
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 117. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior of such systems mathematically and computationally." "A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments." "In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modeled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modeling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners."--Jacket |
| Beschreibung: | 1 online resource (xii, 458 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 430-449) and indexes. |
| ISBN: | 9781107089785 1107089786 0511721595 9780511721595 9781107096073 1107096073 |
Internformat
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| author | Glowinski, R. |
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| contents | Diffusion models -- Distributed and pointwise control for linear diffusion equations -- Boundary control -- Control of the Stokes system -- Control of nonlinear diffusion systems -- Dynamic programming for linear diffusion equations -- Wave models -- Wave equations -- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers -- Other wave and vibration problems, coupled systems -- Flow control -- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction. |
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| indexdate | 2024-11-27T13:25:36Z |
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| isbn | 9781107089785 1107089786 0511721595 9780511721595 9781107096073 1107096073 |
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| publishDateSearch | 2008 |
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| series | Encyclopedia of mathematics and its applications ; |
| series2 | Encyclopedia of mathematics and its applications ; |
| spelling | Glowinski, R. Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. Cambridge, UK ; New York : Cambridge University Press, 2008. 1 online resource (xii, 458 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; 117 Includes bibliographical references (pages 430-449) and indexes. Diffusion models -- Distributed and pointwise control for linear diffusion equations -- Boundary control -- Control of the Stokes system -- Control of nonlinear diffusion systems -- Dynamic programming for linear diffusion equations -- Wave models -- Wave equations -- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers -- Other wave and vibration problems, coupled systems -- Flow control -- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction. "The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior of such systems mathematically and computationally." "A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments." "In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modeled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modeling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners."--Jacket Print version record. Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Théorie de la commande. Systèmes à paramètres répartis. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Control theory fast Differential equations, Partial Numerical solutions fast Distributed parameter systems fast Kontrolltheorie gnd http://d-nb.info/gnd/4032317-1 System mit verteilten Parametern gnd http://d-nb.info/gnd/4058803-8 Lions, J.-L. (Jacques-Louis), 1928-2001. https://id.oclc.org/worldcat/entity/E39PBJymrfrjpv4W6gCcDbmcfq http://id.loc.gov/authorities/names/n79054158 He, Jiwen. has work: Exact and approximate controllability for distributed parameter systems (Text) https://id.oclc.org/worldcat/entity/E39PCGQp8TqbWhvKGWcxtWfvf3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Glowinski, R. Exact and approximate controllability for distributed parameter systems 9780521885720 (DLC) 2007042032 (OCoLC)166357726 Encyclopedia of mathematics and its applications ; v. 117. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569262 Volltext |
| spellingShingle | Glowinski, R. Exact and approximate controllability for distributed parameter systems : a numerical approach / Encyclopedia of mathematics and its applications ; Diffusion models -- Distributed and pointwise control for linear diffusion equations -- Boundary control -- Control of the Stokes system -- Control of nonlinear diffusion systems -- Dynamic programming for linear diffusion equations -- Wave models -- Wave equations -- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers -- Other wave and vibration problems, coupled systems -- Flow control -- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction. Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Théorie de la commande. Systèmes à paramètres répartis. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Control theory fast Differential equations, Partial Numerical solutions fast Distributed parameter systems fast Kontrolltheorie gnd http://d-nb.info/gnd/4032317-1 System mit verteilten Parametern gnd http://d-nb.info/gnd/4058803-8 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85031658 http://id.loc.gov/authorities/subjects/sh85038542 http://id.loc.gov/authorities/subjects/sh85037915 http://d-nb.info/gnd/4032317-1 http://d-nb.info/gnd/4058803-8 |
| title | Exact and approximate controllability for distributed parameter systems : a numerical approach / |
| title_auth | Exact and approximate controllability for distributed parameter systems : a numerical approach / |
| title_exact_search | Exact and approximate controllability for distributed parameter systems : a numerical approach / |
| title_full | Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. |
| title_fullStr | Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. |
| title_full_unstemmed | Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. |
| title_short | Exact and approximate controllability for distributed parameter systems : |
| title_sort | exact and approximate controllability for distributed parameter systems a numerical approach |
| title_sub | a numerical approach / |
| topic | Control theory. http://id.loc.gov/authorities/subjects/sh85031658 Distributed parameter systems. http://id.loc.gov/authorities/subjects/sh85038542 Differential equations, Partial Numerical solutions. http://id.loc.gov/authorities/subjects/sh85037915 Théorie de la commande. Systèmes à paramètres répartis. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Control theory fast Differential equations, Partial Numerical solutions fast Distributed parameter systems fast Kontrolltheorie gnd http://d-nb.info/gnd/4032317-1 System mit verteilten Parametern gnd http://d-nb.info/gnd/4058803-8 |
| topic_facet | Control theory. Distributed parameter systems. Differential equations, Partial Numerical solutions. Théorie de la commande. Systèmes à paramètres répartis. Équations aux dérivées partielles Solutions numériques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Control theory Differential equations, Partial Numerical solutions Distributed parameter systems Kontrolltheorie System mit verteilten Parametern |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569262 |
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