期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 22, 期 -, 页码 147-160出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2016.04.002
关键词
Impulsive stochastic systems; Markovian switching; Stochastic input-to-state stability; Global asymptotic stability in probability; Generalized average dwell time
资金
- National Natural Science Foundation of China [61403002, 61272530, 61403258, 11301004]
- Natural Science Foundation of Jiangsu Province of China [BK2012741]
- Specialized Research Fund for the Doctoral Program of Higher Education [20130092110017]
- Excellent Youthful Talent Foundation of Colleges and Universities of Anhui Province of China [2013SQRL024ZD]
- Postdoctoral Sustentation Fund of Jiangsu Province of China [1402021C]
This paper is concerned with the stability properties of a class of impulsive stochastic differential systems with Markovian switching. Employing the generalized average dwell time (gADT) approach, some criteria on the global asymptotic stability in probability and the stochastic input-to-state stability of the systems under consideration are established. Two numerical examples are given to illustrate the effectiveness of the theoretical results, as well as the effects of the impulses and the Markovian switching on the systems stability. (C) 2016 Elsevier Ltd. All rights reserved.
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