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  • © 2016

Theory of Control Systems Described by Differential Inclusions

  • 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

Part of the book series: Springer Tracts in Mechanical Engineering (STME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xi
  2. Convex Sets and Convex Functions

    • Zhengzhi Han, Xiushan Cai, Jun Huang
    Pages 1-51
  3. Set-Valued Mappings and Differential Inclusions

    • Zhengzhi Han, Xiushan Cai, Jun Huang
    Pages 53-156
  4. Convex Processes

    • Zhengzhi Han, Xiushan Cai, Jun Huang
    Pages 157-208
  5. Linear Polytope Control Systems

    • Zhengzhi Han, Xiushan Cai, Jun Huang
    Pages 209-262
  6. Luré Differential Inclusion Systems

    • Zhengzhi Han, Xiushan Cai, Jun Huang
    Pages 263-339
  7. Back Matter

    Pages 341-344

About this book

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.

Authors and Affiliations

  • Shanghai Jiao Tong University, Shanghai, China

    Zhengzhi Han

  • Zhejiang Normal University, Jinhua, China

    Xiushan Cai

  • Soochow University, Suzhou, China

    Jun Huang

Bibliographic Information

  • Book Title: Theory of Control Systems Described by Differential Inclusions

  • Authors: Zhengzhi Han, Xiushan Cai, Jun Huang

  • Series Title: Springer Tracts in Mechanical Engineering

  • DOI: https://doi.org/10.1007/978-3-662-49245-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Shanghai Jiao Tong University Press, Shanghai and Springer-Verlag Berlin Heidelberg 2016

  • Hardcover ISBN: 978-3-662-49243-7Published: 23 June 2016

  • Softcover ISBN: 978-3-662-56993-1Published: 07 June 2018

  • eBook ISBN: 978-3-662-49245-1Published: 15 June 2016

  • Series ISSN: 2195-9862

  • Series E-ISSN: 2195-9870

  • Edition Number: 1

  • Number of Pages: XI, 344

  • Number of Illustrations: 45 b/w illustrations, 5 illustrations in colour

  • Topics: Control and Systems Theory, Differential Geometry, Control Structures and Microprogramming

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access