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Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays

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Abstract

This paper investigates the issue of stabilization for discrete-time dynamical systems (DDS) by event-triggered impulsive control (ETIC). Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration.

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Authors and Affiliations

  1. Department of Information and Computing Science, Hunan University of Technology, Zhuzhou, 412008, China

    Bin Liu

  2. Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong, China

    Bin Liu & David John Hill

  3. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, 412008, China

    Changfan Zhang

  4. Mork Family Department of Chemical Engineering and Materials Science, Viterbi School of Engineering, University of Southern California, Los Angeles, CA, 90089, USA

    Zhijie Sun

Authors
  1. Bin Liu
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  2. David John Hill
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  3. Changfan Zhang
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  4. Zhijie Sun
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Corresponding author

Correspondence to Bin Liu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 61673165, the Hong Kong Research Grants Council of GRF Project under Grant No. 17200415, and the Hunan Provincial Natural Science Foundation of China under Grants Nos. 2015JJ2045 and 2017JJ2070.

This paper was recommended for publication by Editor SUN Jian.

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Liu, B., Hill, D.J., Zhang, C. et al. Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays. J Syst Sci Complex 31, 130–146 (2018). https://doi.org/10.1007/s11424-018-7135-7

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  • DOI: https://doi.org/10.1007/s11424-018-7135-7

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