状态依赖时滞跳跃扩散系统的随机输入–状态稳定性分析

Stochastic Input-to-State Stability Analysis for State-Dependent Delayed Jump-Diffusion Systems

随机系统在众多领域中有着广泛的应用,因此许多学者对随机系统进行了研究,其中稳定性是研究随机系统的核心内容。本文利用增量Lyapunov函数方法给出了状态依赖时滞跳跃扩散系统的随机输入–状态稳定性的充分条件,并基于该条件运用反证法与Markov不等式证明了状态依赖时滞跳跃扩散系统的随机稳定性,从而丰富了随机系统稳定性的研究结果。

Stochastic systems have a wide range of applications in many fields, so many scholars have studied stochastic systems, of which stability is the core content of studying stochastic systems. In this pa-per, the incremental Lyapunov function method is used to give sufficient conditions for the sto-chastic input-to-state stability of the state-dependent delayed jump-diffusion systems, and based on this condition, the stochastic stability of the state-dependent delayed jump-diffusion systems is proved by using the contradictory method and Markov’s inequality, thereby enriching the results of the stochastic system stability.