具有随机输入的混合复合动态系统的稳定性判据

Stability Criteria for Hybrid Composite Dynamical Systems with Random Inputs*

中文关键词  混合复合系统  随机输入  随机系统  稳定性判据

英文关键词  hybrid composite systems  random input  stochastic system  stability criteria

中文摘要

      本文给出了如图1所示的具有随机输入的混合动态系统的稳定性分析，所讨论的系统由一个算子L和一个随机微分方程描述的方块组成。对于这样的系统，我们建立了随机吸引性、随机渐近稳定性、随机有界性、大范围随机渐近稳定性、p吸引性、渐近p稳定性、一致p有界性和大范围渐近p稳定性的判据。这些判据包含了一些假设，这些假设描述了算子L和整个系统的定性I/O性质和表示了由随机微分方程描述的子系统的性质。

英文摘要

      The stability analysis is given for hybrid composite dynamical systems with random inputs which are depicted in Fig.1, consisting of an operator L and a block described by a system of stochastic differential equations. Criteria are established for attractivity in probability, asymptotic stability in probability, uniform boundedness in probability, asymptotic stability in probability in the large, p-attractivity, asymptotic p-stability, uniform p-boundedness, and asymptotic p-stability in the large for such systems. These criteria involve hypotheses which characterize the qualitative I/O properties of the operator L and of the entire system, and which express the Lyapunov stability properties of the subsystem described by the indicated stochastic differential equations.