Theory of Control Systems Described by Differential Inclusions

Description

This book provides a brief introduction to the theory of finite dimensional differential inclusions, and deals in depth with control of three kinds of differential inclusion systems. The authors introduce the algebraic decomposition of convex processes, the stabilization of polytopic systems, and observations of Luré systems. They also introduce the elemental theory of finite dimensional differential inclusions, and the properties and designs of the control systems described by differential inclusions. Addressing the material with clarity and simplicity, the book includes recent research achievements and spans all concepts, concluding with a critical mathematical framework.  This book is intended for researchers, teachers and postgraduate students in the area of automatic control engineering. Front Matter....Pages i-xi Convex Sets and Convex Functions....Pages 1-51 Set-Valued Mappings and Differential Inclusions....Pages 53-156 Convex Processes....Pages 157-208 Linear Polytope Control Systems....Pages 209-262 Luré Differential Inclusion Systems....Pages 263-339 Back Matter....Pages 341-344