Exact and approximate controllability for distributed parameter systems : a numerical approach /
Glowinski, R.
Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. - 1 online resource (xii, 458 pages) : illustrations - Encyclopedia of mathematics and its applications ; 117 . - Encyclopedia of mathematics and its applications ; v. 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
9781107089785 (electronic bk.) 1107089786 (electronic bk.) 0511721595 (ebook) 9780511721595 (ebook) 9781107096073 1107096073
GBA784011 bnb
014100660 Uk
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
Electronic books.
QA402.3 / .G56 2008eb
515/.642
Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He. - 1 online resource (xii, 458 pages) : illustrations - Encyclopedia of mathematics and its applications ; 117 . - Encyclopedia of mathematics and its applications ; v. 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
9781107089785 (electronic bk.) 1107089786 (electronic bk.) 0511721595 (ebook) 9780511721595 (ebook) 9781107096073 1107096073
GBA784011 bnb
014100660 Uk
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
Electronic books.
QA402.3 / .G56 2008eb
515/.642