Generalized average dwell time approach to stability and input-to-state stability of hybrid impulsive stochastic differential systems

F Yao, J Cao, P Cheng, L Qiu - Nonlinear Analysis: Hybrid Systems, 2016 - Elsevier
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.
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