依赖状态切换律下的随机时滞系统的稳定性

Stability of Stochastic Time Delay Systems under the Dependence State Switching Law

本文主要讨论的是依赖状态切换律下的随机时滞系统的稳定性分析。一方面,利用Ito公式来讨论其解的存在性的关键是切换时刻必须是停时,对于这一点引入了首次离开时间。另一方面,对于依赖状态的切换律,提出了一种新的稳定性定义。对给定的活跃区域重合的切换律,给出了系统的平衡点的稳定性准则。本文的重要性在于,所有的结果都是在一些很容易验证的假设的基础上得到的。

This paper mainly discusses the analysis on the stability of random time delay system under the dependence state. On the one hand, Ito formula is used to discuss that the key of the existence condition of the solutions is switch moment must be stopped. For this, the first leave time is introduced. On the other hand, for the dependence state of switching law, a new stability definition is proposed. For the overlap switching law in given active area, the stability criterion of the balance point of system is given. The importance of this paper is that all results are on the basis of some hypothesis easy to verify.