Exact and Approximate Controllability for Distributed Parameter Systems (PDF)
A Numerical Approach
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autor: Roland Glowinski
- 2008, Englisch
- Verlag: Cambridge University Press
- ISBN-10: 1139239392
- ISBN-13: 9781139239394
- Erscheinungsdatum: 20.03.2008
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- Größe: 8.73 MB
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Englisch
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