Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 54)
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Table of contents (11 chapters)
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Front Matter
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Partially Unknown TPs
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Front Matter
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Piecewise Homogeneous TPs
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Front Matter
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Back Matter
Keywords
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-meansquare 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.
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Authors and Affiliations
Bibliographic Information
Book Title: Analysis and Design of Markov Jump Systems with Complex Transition Probabilities
Authors: Lixian Zhang, Ting Yang, Peng Shi, Yanzheng Zhu
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-28847-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-28846-8Published: 08 February 2016
Softcover ISBN: 978-3-319-80439-2Published: 30 March 2018
eBook ISBN: 978-3-319-28847-5Published: 19 January 2016
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XVI, 263
Number of Illustrations: 8 b/w illustrations, 39 illustrations in colour
Topics: Control and Systems Theory, Complexity, Systems Theory, Control, Applications of Nonlinear Dynamics and Chaos Theory