Exact and Approximate Controllability for Distributed Parameter Systems
(Book #117 in the Encyclopedia of Mathematics and its Applications Series)
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Book Overview
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.
Format:Hardcover
Language:English
ISBN:0521885728
ISBN13:9780521885720
Release Date:April 2008
Publisher:Cambridge University Press
Length:470 Pages
Weight:1.81 lbs.
Dimensions:1.1" x 6.5" x 9.2"
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