Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion
MATHEMATICS(2020)
摘要
This paper is concerned with the p-th moment exponential stability and quasi sure exponential stability of impulsive stochastic functional differential systems driven by G-Brownian motion (IGSFDSs). By using G-Lyapunov method, several stability theorems of IGSFDSs are obtained. These new results are employed to impulsive stochastic delayed differential systems driven by G-motion (IGSDDEs). In addition, delay-dependent method is developed to investigate the stability of IGSDDSs by constructing the G-Lyapunov-Krasovkii functional. Finally, an example is given to demonstrate the effectiveness of the obtained results.
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关键词
stability,stochastic systems,delay,impulse,G-Brownian motion
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