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Asynchronous Control for Positive Markov Jump Systems

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  • Control Theory and Applications
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Abstract

A new result is provided for the asynchronous control analysis of positive Markov jump systems (PMJSs) in this paper. Firstly, a hidden Markov model is described to express the asynchronous circumstances that appear between the system modes and controller modes. Secondly, by utilizing a copositive stochastic Lyapunov function, a sufficient and necessary condition is given to guarantee the mean stability of PMJSs. Thirdly, we obtain another equivalent condition and design the corresponding asynchronous controller. Finally, the correctness of these results is verified by two numerical examples.

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Authors and Affiliations

  1. School of Artificial Intelligence, Hebei University of Technology, Tianjin, 300130, China

    Kai Yin, Dedong Yang, Jiao Liu & Hongchao Li

  2. Control Engineering Technology Research Center of Hebei Province, Hebei University of Technology, Tianjin, 300130, China

    Kai Yin, Dedong Yang, Jiao Liu & Hongchao Li

Authors
  1. Kai Yin
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  2. Dedong Yang
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  3. Jiao Liu
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  4. Hongchao Li
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Correspondence to Dedong Yang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Editor Jessie (Ju H.) Park. The work was supported by the Natural Science Foundation of Hebei Province, F2017202009 and Innovative Capability Improvement Program of Hebei Province, 18961604H.

Kai Yin received his B.S. degree in automation from Science and Information School of Heibei University of Engineering, Handan, China. Currently, he is a doctor in the School of Artificial Intelligence, Hebei University of Technology, Tianjin, China. His research interests include networked control systems and hybrid systems.

Dedong Yang received his B.S. degree in industrial automation and an M.S. degree in traffic information engineering and control from the Dalian Railway Institute (currently Dalian Jiaotong University), Dalian, China, in 2000 and 2003, respectively, and a Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2007. From 2003 to 2006, he was with the School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing, China, as a Postdoctoral Fellow. Currently, he is now a professor in the School of Artificial Intelligence, Hebei University of Technology, Tianjin, China. His research interests include networked control systems, hybrid systems, intelligent control, and their industrial application.

Jiao Liu received her M.S. and Ph.D. degrees in control theory and control engineering from Dalian University of Technology, Dalian, China, in 2013 and 2017, respectively. She is currently a Lecturer with the School of Artificial Intelligence, Hebei University of Technology, Tianjin, China. Her research interests include switched positive systems and Markov jump positive systems.

Hongchao Li received her B.S. degree in automation from Yanshan University in 2011 and a Ph.D. degree in control science and engineering from Tianjin University in 2017. She is now a Lecturer in the School of Artificial Intelligence, Hebei University of Technology. Her research interests include event triggered control, saturation nonlinearity, Markov jump system, and switching system.

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Yin, K., Yang, D., Liu, J. et al. Asynchronous Control for Positive Markov Jump Systems. Int. J. Control Autom. Syst. 19, 646–654 (2021). https://doi.org/10.1007/s12555-019-0734-9

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  • DOI: https://doi.org/10.1007/s12555-019-0734-9

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