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Stability Analysis of Markovian Jump Systems

  • Book
  • © 2018

Overview

Authors:
  1. Yu Kang

    1. University of Science and Technology of China, Hefei, China

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    You can also search for this author in PubMed   Google Scholar

  2. Yun-Bo Zhao

    1. Zhejiang University of Technology, Hangzhou, China

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    You can also search for this author in PubMed   Google Scholar

  3. Ping Zhao

    1. Jinan University, Jinan, China

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    You can also search for this author in PubMed   Google Scholar

  • Offers insightful views on specific topics of MJSs
  • Addresses the stability of general MJSs and its applications in several areas
  • Studies nonlinear MJSs and robust stochastic stability
  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Introduction to Markovian Jump Systems

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 1-14

  3. Robust Stochastic Stability

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 15-41

  4. System with Imprecise Jumping Parameters

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 43-95

  5. Nonlinear Markovian Jump Systems

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 97-112

  6. Practical Stability

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 113-129

  7. Networked Control System: A Markovian Jump System Approach

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 131-147

  8. Applications Based on the Markov Jump Theory

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages 149-189

  9. Erratum to: Stability Analysis of Markovian Jump Systems

    • Yu Kang, Yun-Bo Zhao, Ping Zhao
    Pages E1-E1

  10. Back Matter

    Pages 191-193
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Keywords

About this book

This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.

Reviews

“This book presents the results of investigation of the stability problem of Markovian jump systems. The systems under consideration include time-varying delay and time-varying transition rates. … This book is a valuable resource for researchers and graduate students in the field of control theory and engineering.” (Mikhail P. Moklyachuk, zbMath 1416.93003, 2019)

“This book is an advanced research monograph on Markovian jump systems, detailing stability analysis under some imperfect cases. … the book is well written and summarizes recent advances in stability analysis of Markovian jump systems in a brief and clear presentation. This good research monograph on stability of Markovian jump systems is recommended for its novelty and the timeliness of its technical contents.” (Zhan Shu, Mathematical Reviews, July, 2018)

Authors and Affiliations

  • University of Science and Technology of China, Hefei, China

    Yu Kang

  • Zhejiang University of Technology, Hangzhou, China

    Yun-Bo Zhao

  • Jinan University, Jinan, China

    Ping Zhao

About the authors

CVs of the authors are attached in which the publications related with the envisaged book are highlighted.

Bibliographic Information

  • Book Title: Stability Analysis of Markovian Jump Systems

  • Authors: Yu Kang, Yun-Bo Zhao, Ping Zhao

  • DOI: https://doi.org/10.1007/978-981-10-3860-0

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. and Science Press, Beijing 2018

  • Hardcover ISBN: 978-981-10-3859-4Published: 18 September 2017

  • Softcover ISBN: 978-981-10-9986-1Published: 12 August 2018

  • eBook ISBN: 978-981-10-3860-0Published: 08 September 2017

  • Edition Number: 1

  • Number of Pages: XVI, 193

  • Number of Illustrations: 5 b/w illustrations, 32 illustrations in colour

  • Additional Information: Jointly published with Science Press, Beijing, China

  • Topics: Control and Systems Theory, Systems Theory, Control, Mathematical Modeling and Industrial Mathematics

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