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

LIU Bin,HILL David John,ZHANG Changfan,SUN Zhijie

Journal of Systems Science & Complexity ›› 2018, Vol. 31 ›› Issue (1) : 130-146.

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PDF(423 KB)
Journal of Systems Science & Complexity ›› 2018, Vol. 31 ›› Issue (1) : 130-146. DOI: 10.1007/s11424-018-7135-7

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

  • LIU Bin1 , HILL David John2 , ZHANG Changfan3 , SUN Zhijie4
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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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LIU Bin , HILL David John , ZHANG Changfan , SUN Zhijie. Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays. Journal of Systems Science and Complexity, 2018, 31(1): 130-146 https://doi.org/10.1007/s11424-018-7135-7
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