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Analysis and Design of Markov Jump Discrete Systems

2023-11-15 Technology & Engineering
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Release : 2023-11-15
Genre : Technology & Engineering
Kind : eBook
Book Rating : 486/5 ( reviews)

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Book Synopsis Analysis and Design of Markov Jump Discrete Systems by : Yonggui Kao

Download or read book Analysis and Design of Markov Jump Discrete Systems written by Yonggui Kao. This book was released on 2023-11-15. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes analysis and design techniques for Markov jump systems (MJSs) using Lyapunov function and sliding mode control techniques. It covers a range of topics including stochastic stability, finite-time boundedness, actuator-fault problem, bumpless transfer scheme, and adaptive sliding mode fault-tolerant control for uncertain MJSs. Notably, the book presents a new model for deception attacks (DAs), establishing the correlation between attacks and time delays, which should be of particular interest due to the recent increase in such attacks. The book's content is presented in a comprehensive, progressive manner, with fundamental principles introduced first before addressing more advanced techniques. The book features illustrations and tables, providing readers with a practical and intuitive approach to applying these methods in their own research. This book will prove invaluable to researchers and graduate students in control engineering and applied mathematics with an interest in the latest developments in MJSs.

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

2016-01-19 Technology & Engineering
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Release : 2016-01-19
Genre : Technology & Engineering
Kind : eBook
Book Rating : 474/5 ( reviews)

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Book Synopsis Analysis and Design of Markov Jump Systems with Complex Transition Probabilities by : Lixian Zhang

Download or read book Analysis and Design of Markov Jump Systems with Complex Transition Probabilities written by Lixian Zhang. This book was released on 2016-01-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete-Time Markov Jump Linear Systems

2006-03-30 Mathematics
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Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 826/5 ( reviews)

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Book Synopsis Discrete-Time Markov Jump Linear Systems by : O.L.V. Costa

Download or read book Discrete-Time Markov Jump Linear Systems written by O.L.V. Costa. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Discrete-Time Markov Jump Linear Systems

2005-02-02 Computers
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Release : 2005-02-02
Genre : Computers
Kind : eBook
Book Rating : 612/5 ( reviews)

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Book Synopsis Discrete-Time Markov Jump Linear Systems by : O.L.V. Costa

Download or read book Discrete-Time Markov Jump Linear Systems written by O.L.V. Costa. This book was released on 2005-02-02. Available in PDF, EPUB and Kindle. Book excerpt: This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Analysis and Design of Singular Markovian Jump Systems

2014-07-17 Technology & Engineering
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Release : 2014-07-17
Genre : Technology & Engineering
Kind : eBook
Book Rating : 231/5 ( reviews)

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Book Synopsis Analysis and Design of Singular Markovian Jump Systems by : Guoliang Wang

Download or read book Analysis and Design of Singular Markovian Jump Systems written by Guoliang Wang. This book was released on 2014-07-17. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: · study of the stability problem for SMJSs with general transition rate matrices (TRMs); · stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; · mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller; · observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; · consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering · development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corres ponding closed-loop system states · applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.

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