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Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Hardcover, 1st ed. 2016)
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Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Hardcover, 1st ed. 2016)
Series: Studies in Systems, Decision and Control, 54
Expected to ship within 12 - 17 working days
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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 -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.
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