Analysis and Design of Markov Jump Systems with Complex - download pdf or read online

By Lixian Zhang, Ting Yang, Peng Shi, Yanzheng Zhu

ISBN-10: 3319288466

ISBN-13: 9783319288468

ISBN-10: 3319288474

ISBN-13: 9783319288475

The ebook addresses the keep watch over concerns reminiscent of balance research, keep an eye on synthesis and clear out layout of Markov bounce structures with the above 3 sorts of TPs, and hence is principally divided into 3 elements. half I experiences the Markov bounce structures with partly unknown TPs. diversified methodologies with varied conservatism for the elemental balance and stabilization difficulties are constructed and in comparison. Then the issues of nation estimation, the keep watch over of structures with time-varying delays, the case concerned with either in part unknown TPs and unsure TPs in a composite method also are tackled. half II offers with the Markov bounce structures with piecewise homogeneous TPs. Methodologies which could successfully deal with regulate difficulties within the state of affairs are constructed, together with the only dealing with the asynchronous switching phenomenon among the presently activated approach mode and the controller/filter to be designed. half III makes a speciality of the Markov leap platforms with reminiscence TPs. the concept that of σ-mean sq. balance is proposed such that the soundness challenge should be solved through a finite variety of stipulations. The platforms concerned with nonlinear dynamics (described through the Takagi-Sugeno fuzzy version) also are investigated. Numerical and useful examples are given to make sure the effectiveness of the bought theoretical effects. eventually, a few views and destiny works are offered to finish the book.

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Extra resources for Analysis and Design of Markov Jump Systems with Complex Transition Probabilities

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The latter means that the variation is subject to a higher-level TPM. In [172], the first type of variations is investigated via the average dwell time approach and the H∞ control scheme is developed. As a special case of MJLSs with piecewise homogeneous TPs, stability and stabilization problems on neural networks have been fully addressed. State-feedback control for Markov jump neural networks with both discrete and distributed delays is presented in [173] and then the problem of passivity analysis for the same type of MJLSs is considered in [174].

As a special case of MJLSs with piecewise homogeneous TPs, stability and stabilization problems on neural networks have been fully addressed. State-feedback control for Markov jump neural networks with both discrete and distributed delays is presented in [173] and then the problem of passivity analysis for the same type of MJLSs is considered in [174]. In the sense of the exponential stochastic stability, the synchronization issue for complex Markov NCSs is developed in [175]. The related research also covered the singular MJSs and one can consult [176] for deeper discussions.

3). 23) where (i) SK XK(i) λiK(i) Xi , . . , λiKm(i) Xi 1 diag{XK(i) , . . 25) with K1(i) , . . 5) such that the resulting system is stochastically stable. 10), respectively. 21) for i ∈ / IK , respectively. 22). 23). 7 such that the underlying system is stochastically stable. 26). This completes the proof. 16 will not be i checked simultaneously due to the fact IK ∩ IUi K = ∅. 5). 3). 28) Ai Xi + Xi Ai + Bi Yi + Yi Bi and XK(i) TK(i) diag XK1 , . . , XKmi , λiK1 Xi , . . 29) and ∀s ∈ {1, 2, .

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Analysis and Design of Markov Jump Systems with Complex Transition Probabilities by Lixian Zhang, Ting Yang, Peng Shi, Yanzheng Zhu


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