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Synchronization of Discrete-Time Switched 2-D Systems with Markovian Topology via Fault Quantized Output Control

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Abstract

This paper considers the global exponential synchronization almost surely (GES a.s.) in an array of two-dimensional (2-D) discrete-time systems with Markovian jump topology. Considering the fact that external disturbances are inevitable and communication resources are limited, mode-dependent quantized output control with actuator fault (AF) is designed. Sufficient conditions formulated by linear matrix inequalities (LMIs) are given to ensure the GES a.s. Control gains of the controller without AF is designed by solving the LMIs. It is shown that the stationary distribution of the transition probability of the Markov chain plays an important role in our study, which makes it possible that some of the modes are not controlled. Numerical examples are given to illustrate the effectiveness of theoretical analysis.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (NSFC) under Grant No. 61673078, the Basic and Frontier Research Project of Chongqing under Grant No. cstc2018jcyjAX0369, Special Funds for Basic Research in Local Undergraduate Universities (Part) of Yunnan Province of China under Grant No. 2018FH001-113, and the Chongqing Graduate Research Innovation Project under Grant No. CYS19296.

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Authors and Affiliations

  1. School of Mathematical Sciences, Chongqing Normal University, Chongqing, 401331, China

    Xue Qin & Yi Zou

  2. Department of Mathematics, Guilin University of Technology, Guilin, 541000, People’s Republic of China

    Lei Shi

  3. School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, 404100, China

    Zhengwen Tu

  4. College of Intelligent Manufacturing, Zhanjiang University of Science and Technology, Zhanjiang, 524000, China

    Xiaolin Xiong

  5. College of Electronics and Information Engineering, Sichuan University, Chengdu, 610065, China

    Xinsong Yang

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  1. Xue Qin
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  2. Lei Shi
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  3. Yi Zou
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  4. Zhengwen Tu
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  5. Xiaolin Xiong
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Correspondence to Xinsong Yang.

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Qin, X., Shi, L., Zou, Y. et al. Synchronization of Discrete-Time Switched 2-D Systems with Markovian Topology via Fault Quantized Output Control. Neural Process Lett 54, 165–180 (2022). https://doi.org/10.1007/s11063-021-10626-3

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