<p>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.</p>

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Studies in Systems, Decision and Control, 54)

Shi, Peng

Zhang Lixian

Zhu, Yanzheng

Yang, Ting

Reference

Springer

This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of  methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering (Studies in Systems, Decision and Control, 53)

Lu, Qiugang

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.

<p>Displaying the truth rather than preaching is the principle of Zhang Lixian editing this book. Articles selected in this book are medium-length readings ranging from five thousand words to fifty thousand words. As to the content, it stresses being non-academic and non-fictional, strives to combine interest with taste, explores relations between people and things, details and topics to chat about, does not discuss academic problems or publish literary works. Book reviews and film reviews selected in this book are emphasized on interest, bringing readers joy and deep thinking through real appearances.</p>

Reading Bank 1301 (Chinese Edition)

New Star Press

Reading Library-1302 (Chinese Edition)

Just putting forth facts without telling truth"" is the editorial policy for this book. Works collected in this book is the medium-length reading with 5,000 to 50,000 words in length. In terms of content, the book stresses non-academic and non-fiction with pursuit of combination of interest and taste, exploration of man and things and details and topics. It does not explore the academic issues without publishing literary works. Book reviews and movie reviews and other styles selected in the book emphasize interest. Through the true appearance, it brings about reading pleasure and thought depth to readers. The Three-be and Three-regardless Principle is implemented in compiling the book: the book should be interesting, sustentative and gritty regardless of length, cost and leaving regrets.

Reading Warehouse 1303 (Chinese Edition)

Duku 2203 (Chinese Edition)

See the best price to sell, buy, or rent books by Zhang Lixian. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Zhang Lixian

See the best price to sell, buy, or rent books by Zhang Lixian. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Studies in Systems, Decision and Control, 54)

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering (Studies in Systems, Decision and Control, 53)

Analysis and Design of Markov Jump Systems with Complex Transition Probabilities (Studies in Systems, Decision and Control, 54)

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering (Studies in Systems, Decision and Control, 53)

Reading Bank 1301 (Chinese Edition)

Reading Library-1302 (Chinese Edition)

Reading Warehouse 1303 (Chinese Edition)

Duku 2203 (Chinese Edition)