Exact and approximate controllability for distributed parameter systems: a numerical approach

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 isdedicated 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.

• ISBN: 978-0-521-88572-0
• Editorial: Cambridge University
• Encuadernacion: Cartoné
• Páginas: 454
• Fecha Publicación: 01/12/2008
• Nº Volúmenes: 1
• Idioma: Inglés