Exact and approximate controllability for distributed parameter systems: a numerical approach
The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2008
|
| Series: | Encyclopedia of mathematics and its applications
volume 117 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour 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 modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xii, 458 pages) |
| ISBN: | 9780511721595 |
| DOI: | 10.1017/CBO9780511721595 |
Staff View
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| 520 | |a The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour 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 modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling 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 | ||
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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 |
| ctrlnum | (ZDB-20-CBO)CR9780511721595 (OCoLC)850835705 (DE-599)BVBBV043942261 |
| dewey-full | 515/.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.642 |
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| dewey-sort | 3515 3642 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511721595 |
| format | Electronic eBook |
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| id | DE-604.BV043942261 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511721595 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351230 |
| oclc_num | 850835705 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xii, 458 pages) |
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| publishDate | 2008 |
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| publisher | Cambridge University Press |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Glowinski, R. Verfasser aut Exact and approximate controllability for distributed parameter systems a numerical approach Roland Glowinski, Jacques-Louis Lions, Jiwen He Exact & Approximate Controllability for Distributed Parameter Systems Cambridge Cambridge University Press 2008 1 online resource (xii, 458 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 117 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour 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 modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling 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 Control theory Distributed parameter systems Differential equations, Partial / Numerical solutions System mit verteilten Parametern (DE-588)4058803-8 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf System mit verteilten Parametern (DE-588)4058803-8 s Kontrolltheorie (DE-588)4032317-1 s 1\p DE-604 Lions, J.-L. 1928-2001 Sonstige oth He, Jiwen Sonstige oth Erscheint auch als Druckausgabe 978-0-521-88572-0 https://doi.org/10.1017/CBO9780511721595 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Glowinski, R. Exact and approximate controllability for distributed parameter systems a numerical approach 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 Distributed parameter systems Differential equations, Partial / Numerical solutions System mit verteilten Parametern (DE-588)4058803-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4058803-8 (DE-588)4032317-1 |
| title | Exact and approximate controllability for distributed parameter systems a numerical approach |
| title_alt | Exact & Approximate Controllability for Distributed Parameter Systems |
| 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 Distributed parameter systems Differential equations, Partial / Numerical solutions System mit verteilten Parametern (DE-588)4058803-8 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Control theory Distributed parameter systems Differential equations, Partial / Numerical solutions System mit verteilten Parametern Kontrolltheorie |
| url | https://doi.org/10.1017/CBO9780511721595 |
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