Journal
AUTOMATICA
Volume 66, Issue -, Pages 195-204Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2016.01.002
Keywords
Input-to-state stability; Impulsive stochastic systems; Average impulsive interval; Time-delays
Funding
- Natural Science Foundation of China [61590923, 11326121, 61503328, 71571001]
- Anhui Excellent Youth Fund [2013SQRL033ZD]
- Natural Science Foundation of Anhui Province [1408085QA09]
- Fundamental Research Funds for the Central Universities of China [222201514328]
- China Postdoctoral Science Foundation [2015M571629]
- Top Talent Support Program of Yangzhou University
- Thousand Youth Talents Plan of China
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In this paper, the input-to-state stability (ISS), integral-ISS (iISS) and stochastic-ISS (SISS) are investigated for impulsive stochastic delayed systems. By means of the Lyapunov-Krasovskii function and the average impulsive interval approach, the conditions for ISS-type properties are derived under linear assumptions, respectively, for destabilizing and stabilizing impulses. It is shown that if the continuous stochastic delayed system is ISS and the impulsive effects are destabilizing, then the hybrid system is ISS with respect to a lower bound of the average impulsive interval. Moreover, it is unveiled that if the continuous stochastic delayed system is not ISS, the impulsive effects can successfully stabilize the system for a given upper bound of the average impulsive interval. An improved comparison principle is developed for impulsive stochastic delayed systems, which facilitates the derivations of our results for ISS/iISS/SISS. An example of networked control systems is provided to illustrate the effectiveness of the proposed results. (C) 2016 Elsevier Ltd. All rights reserved.
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