Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave Equation

ISBN-13: 9783642046124 / Angielski / Miękka / 2009 / 296 str.

Weijiu Liu

Opis

Unlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equations.

Recenzje

From the reviews:

"This book is an introduction to the mathematical control theory of some applied partial differential equations. ... The material in this book is a nice simplification of that from the existing advanced monographs on infinite-dimensional control theory. ... This text can be used as a textbook for a one-semester graduate course on control theory for the systems governed by partial differential equations." (Xu Zhang, Mathematical Reviews, Issue 2010 m)

"This book is an introductory text in control theory of partial differential equations (PDEs) intended for first-year graduate students in mathematics or engineering ... . book is well thought out and the topics flow together nicely. ... This textbook would be very suitable as a primary text for a course on control theory of PDEs that emphasizes application of feedback stabilization theory to concrete PDEs. ... also serve as a valuable side reference in a more general or abstract course with its many excellent examples." (Scott W. Hansen, SIAM Review, Vol. 53 (2), 2011)

Spis treści

Examples of Control Systems.- Elementary Functional Analysis.- Finite Dimensional Systems.- Linear Reaction-Convection-Diffusion Equation.- One-dimensional Wave Equation.- Higher-dimensional Wave Equation.