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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Glowinski, R.
Otros Autores: Lions, J.-L. (Jacques-Louis), 1928-2001, He, Jiwen
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2008.
Colección:Encyclopedia of mathematics and its applications ; v. 117.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Exact and approximate controllability for distributed parameter systems :  |b a numerical approach /  |c Roland Glowinski, Jacques-Louis Lions, Jiwen He. 
264 1 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 2008. 
300 |a 1 online resource (xii, 458 pages) :  |b illustrations 
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490 1 |a Encyclopedia of mathematics and its applications ;  |v 117 
504 |a Includes bibliographical references (pages 430-449) and indexes. 
505 0 |a 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. 
520 1 |a "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 
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650 0 |a Distributed parameter systems. 
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650 6 |a Théorie de la commande. 
650 6 |a Systèmes à paramètres répartis. 
650 6 |a Équations aux dérivées partielles  |x Solutions numériques. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Control theory  |2 fast 
650 7 |a Differential equations, Partial  |x Numerical solutions  |2 fast 
650 7 |a Distributed parameter systems  |2 fast 
650 7 |a Kontrolltheorie  |2 gnd 
650 7 |a System mit verteilten Parametern  |2 gnd 
700 1 |a Lions, J.-L.  |q (Jacques-Louis),  |d 1928-2001. 
700 1 |a He, Jiwen. 
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