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Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion

by Lijun Pan 1,*,†, Jinde Cao 2,*,† and Yong Ren 3,†
1
School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, Guangdong, China
2
School of Mathematics, Southeast University, Nanjing 210096, China
3
School of Mathematics and Statistics, Anhui Normal University, Wuhu 241000, China
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(2), 227; https://doi.org/10.3390/math8020227
Received: 3 January 2020 / Accepted: 3 February 2020 / Published: 10 February 2020
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.
Keywords: stability; stochastic systems; delay; impulse; G-Brownian motion stability; stochastic systems; delay; impulse; G-Brownian motion
MDPI and ACS Style

Pan, L.; Cao, J.; Ren, Y. Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion. Mathematics 2020, 8, 227.

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