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Dynamic event-based reliable dissipative asynchronous control for stochastic Markov jump systems with general conditional probabilities

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Abstract

The paper concerns the problem of reliable dissipative asynchronous controller design for a type of stochastic Markov jump systems (MJSs) with general conditional probabilities in the presence of the dynamic event-triggered rule. Since the mode information of the stochastic MJS is impossible to obtain, a reliable asynchronous controller is established such that the phenomena of nonsynchronous modes between the original stochastic MJS and the developed controller is formulated as a hidden Markov model. A novel dynamic event-triggered strategy is constructed to further decrease the data transmission frequency over the communication network. By taking the internal dynamic variable into account, the criteria of stochastically stable with the reliable dissipativity performance for the resulting closed-loop stochastic MJS are provided based on a collection of linear matrix inequalities. Further, the designs of reliable dissipative asynchronous controller and the dynamic event-triggered strategy are developed simultaneously. Lastly, a numerical instance is supplied to elucidate the superiority of proposed method.

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Acknowledgements

This work was partly supported by the National Natural Science Foundation of China (Nos. 61773191, 61703225, 61803241), and Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant 2019KJI010; Talent Introduction and Cultivation Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions.

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Authors and Affiliations

  1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, Shandong, China

    Yanqian Wang

  2. Mathematics and Computer Science, Shanxi Datong University, Datong, 037009, Shanxi, China

    Fu Chen

  3. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, Shandong, China

    Guangming Zhuang

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  1. Yanqian Wang
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  2. Fu Chen
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Correspondence to Yanqian Wang.

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Wang, Y., Chen, F. & Zhuang, G. Dynamic event-based reliable dissipative asynchronous control for stochastic Markov jump systems with general conditional probabilities. Nonlinear Dyn 101, 465–485 (2020). https://doi.org/10.1007/s11071-020-05786-1

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