Exact Approximate Controllability for Distributed Parameter Sy… 9780521885720 LN

Exact and Approximate Controllability for Distributed Parameter SystemsA Numerical Approach\nAuthor(s): Roland Glowinski, Jacques-Louis Lions, Jiwen He\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521885720, 978-0521885720\nSynopsis\nThe 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, typica.