Theory of Control Systems Described by Differential Inclusions

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.

List of contents

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

Summary

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.

Product details

• Authors: Xiusha Cai, Xiushan Cai, Zhengzh Han, Zhengzhi Han, Jun Huang
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 31.05.2016
• EAN: 9783662492437
• ISBN: 978-3-662-49243-7
• No. of pages: 344
• Dimensions: 160 mm x 19 mm x 240 mm
• Weight: 707 g
• Illustrations: XI, 344 p. 50 illus., 5 illus. in color.
• Series: Springer Tracts in Mechanical Engineering; Springer Tracts in Mechanical Engineering
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; B, Computerhardware, Differentielle und Riemannsche Geometrie, engineering, Control and Systems Theory, Differential Geometry, Microprogramming, Control Structures and Microprogramming, Algorithms & data structures, Control engineering, Differential & Riemannian geometry