New criteria on exponential stability of impulsive stochastic delayed differential systems with infinite delays

摘要

This paper investigates pth moment exponential stability of impulsive stochastic delayed differential systems with infinite delays. The main idea is to construct a positive function q(t) that is determined by the infinite delay. Results show that initially unstable systems are able to be stable with the impulse effects if the frequency and intensity are suitable. In the meanwhile, the corollaries give several sufficient conditions on the stability of systems in specific circumstances correspondingly. Finally, two numerical examples are performed to account for the effectiveness of the theoretical results. (C) 2022 Elsevier B.V. All rights reserved.