Studies in Systems, Decision and Control

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

Authors: Zhang, L., Yang, T., Shi, P., Zhu, Y.

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  • Studies the Markov jump systems for practical applications by considering uncertain, partially known, and time-varying Transition Probabilities
  • Addresses the control issues such as stability analysis, control synthesis, filter design and model reduction of Markov jump systems with the different types of transition probabilities
  • Provides a number of numerical and practical examples to verify the effectiveness of the obtained theoretical results
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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-28847-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-28846-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-80439-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three parts. Part I studies the Markov jump systems with partially unknown TPs. Different methodologies with different conservatism for the basic stability and stabilization problems are developed and compared. Then the problems of state estimation, the control of systems with time-varying delays, the case involved with both partially unknown TPs and uncertain TPs in a composite way are also tackled. Part II deals with the Markov jump systems with piecewise homogeneous TPs. Methodologies that can effectively handle control problems in the scenario are developed, including the one coping with the asynchronous switching phenomenon between the currently activated system mode and the controller/filter to be designed. Part III focuses on the Markov jump systems with memory TPs. The concept of σ-mean square stability is proposed such that the stability problem can be solved via a finite number of conditions. The systems involved with nonlinear dynamics (described via the Takagi-Sugeno fuzzy model) are also investigated. Numerical and practical examples are given to verify the effectiveness of the obtained theoretical results. Finally, some perspectives and future works are presented to conclude the book.

Reviews

“This book collects some of the authors’ previous results on Markov jump systems (MJSs) subject to complex transition probabilities (TPs) as well as the original developments on the stability analysis of MJSs. … This book can be used in undergraduate and graduate study. It can be also suitable as a reference for engineers and researchers in the field of systems with jump Markov perturbations.” (Vasile Drăgan, Mathematical Reviews, January, 2017)


Table of contents (11 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-28847-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-28846-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-319-80439-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Design of Markov Jump Systems with Complex Transition Probabilities
Authors
Series Title
Studies in Systems, Decision and Control
Series Volume
54
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-28847-5
DOI
10.1007/978-3-319-28847-5
Hardcover ISBN
978-3-319-28846-8
Softcover ISBN
978-3-319-80439-2
Series ISSN
2198-4182
Edition Number
1
Number of Pages
XVI, 263
Number of Illustrations
8 b/w illustrations, 39 illustrations in colour
Topics