Theory of Control Systems Described by Differential Inclusions

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.

First book on the control systems described by differential Presents a complete theory of finite dimensional differential Every conclusion is stated and verified using critical mathematical language Includes supplementary material: sn.pub/extras

Inhalt
Convex sets and Convex Functions.- Set-valued Mappings and Differential Inclusions.- Convex Processes.- Linear Polytope Control Systems.- Luré Differential Inclusions.