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Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach
Glowinski, Roland ; Lions, Jacques-Louis ; He, Jiwen
New York: Cambridge University Press 2008
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Título:
Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach
Autor:
Glowinski, Roland
;
Lions, Jacques-Louis
;
He, Jiwen
Assuntos:
Control theory
;
Differential equations, Partial
;
Distributed parameter systems
Descrição:
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.
Títulos relacionados:
Encyclopedia of mathematics and its applications
Editor:
New York: Cambridge University Press
Data de criação/publicação:
2008
Formato:
472
Idioma:
Inglês
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