Exponential stability of hybrid stochastic functional differential systems with delayed impulsive effects: average impulsive interval approach

2017 ◽  
Vol 40 (11) ◽  
pp. 4197-4210 ◽  
Author(s):  
Dianqiang Li ◽  
Pei Cheng ◽  
Shuping He
Keyword(s):  
Exponential Stability ◽  
Impulsive Effects ◽  
Differential Systems ◽  
Interval Approach ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
Average Impulsive Interval ◽  
Stochastic Functional

scholarly journals Exponential Stability of Impulsive Stochastic Functional Differential Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Zheng Wu ◽  
Hao Huang ◽  
Lianglong Wang
Keyword(s):  
Exponential Stability ◽  
Lyapunov Functions ◽  
Differential Systems ◽  
Stochastic Delay ◽  
Almost Sure Exponential Stability ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
Delay Differential Systems ◽  
Delay Differential ◽  
Stochastic Functional

This paper is concerned with stabilization of impulsive stochastic delay differential systems. Based on the Razumikhin techniques and Lyapunov functions, several criteria onpth moment and almost sure exponential stability are established. Our results show that stochastic functional differential systems may be exponentially stabilized by impulses.

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

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 227
Author(s):  
Lijun Pan ◽  
Jinde Cao ◽  
Yong Ren
Keyword(s):  
Brownian Motion ◽  
Exponential Stability ◽  
Differential Systems ◽  
Stability Theorems ◽  
Functional Differential Systems ◽  
Functional Differential ◽  
The Stability ◽  
Delay Dependent ◽  
Moment Exponential Stability ◽  
Stochastic Functional

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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