Exact and Approximate Controllability for Distributed Parameter Systems
Subtitle: A Numerical Approach (Encyclopedia of Mathematics and its Applications)
Edition: 1 edition
Publisher: Cambridge University Press
Published: March 31, 2008
Language: eng
Format: Hardcover
Number of pages: 512
ISBN-13: 9780521885720
Subjects: Infinite series; Mathematics; Science/Mathematics; Mathematics / Mathematical Analysis; Mathematical Analysis; Control theory; Differential equations, Partial; Distributed parameter systems; Numerical solutions
Description: "The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior 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 modeled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modeling 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."--Jacket.