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.

Zusammenfassung

This book provides a brief introduction to the theory of finitedimensional differential inclusions, and deals in depth with control of threekinds of differential inclusion systems. The authors introduce the algebraicdecomposition of convex processes, the stabilization of polytopic systems, andobservations of Luré systems. They also introduce the elemental theory offinite dimensional differential inclusions, and the properties and designs ofthe control systems described by differential inclusions. Addressing thematerial with clarity and simplicity, the book includes recent researchachievements and spans all concepts, concluding with a critical mathematicalframework. This book is intended for researchers, teachers and postgraduatestudents in the area of automatic control engineering.

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