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