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Asynchronous Control for Positive Discrete-Time Markovian Jump Systems

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Positive Systems (POSTA 2018)

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 480))

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Abstract

This paper is concerned with the asynchronous behaviours of discrete-time positive Markovian jump systems (PMJSs). In previous literatures about PMJSs, asynchronous behaviors which mean that the system modes and controller modes are not synchronous are always overlooked when designing controller. A sufficient condition for stochastic stability is first given by using Lyapunov–Krasovskii functional. The asynchronous controller is constructed in terms of linear matrix inequality forms to ensure the closed-loop system stochastic stability. Finally, a numerical example is stated to show the effectiveness of the proposed design.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (61703231) and (61773235), Natural Science Foundation of Shandong (ZR2017QF001) and (ZR2017MF063), Postdoctoral Science Foundation of China (2017M612235), Taishan Scholar Project of Shandong Province (TSQN20161033), and Excellent Experiment Project of Qufu Normal University (jp201728).

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Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, China

    Hui Shang, Wenhai Qi & Guangdeng Zong

Authors
  1. Hui Shang
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  2. Wenhai Qi
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  3. Guangdeng Zong
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Corresponding author

Correspondence to Guangdeng Zong .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

    James Lam

  2. Hangzhou Dianzi University, Hangzhou, China

    Yun Chen

  3. Southwest Minzu University, Chengdu, China

    Xingwen Liu

  4. Dalian University of Technology, Dalian, China

    Xudong Zhao

  5. Hangzhou Dianzi University, Hangzhou, China

    Junfeng Zhang

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Shang, H., Qi, W., Zong, G. (2019). Asynchronous Control for Positive Discrete-Time Markovian Jump Systems. In: Lam, J., Chen, Y., Liu, X., Zhao, X., Zhang, J. (eds) Positive Systems . POSTA 2018. Lecture Notes in Control and Information Sciences, vol 480. Springer, Cham. https://doi.org/10.1007/978-3-030-04327-8_9

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