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

✍ Scribed by Weijiu Liu (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 303
• Series: Mathématiques et Applications 66
• Edition: 1
• Category: Library

✦ Synopsis

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)

✦ Table of Contents

Front Matter....Pages I-X
Examples of Control Systems....Pages 1-7
Elementary Functional Analysis....Pages 9-48
Finite Dimensional Systems....Pages 49-117
Linear Reaction-Convection-Diffusion Equation....Pages 119-214
One-dimensional Wave Equation....Pages 215-231
Higher-dimensional Wave Equation....Pages 233-292
Back Matter....Pages 293-296

✦ Subjects

Partial Differential Equations; Applications of Mathematics; Control