带随机状态转移的异步大系统的随机稳定性

STOCHASTIC STABILITY OF ASYNCHRONOUS LARGE_SCALE SYSTEMS WITH RANDOM STATE TRANSITION

本文针对一类具有随机状态转移概率的异步大系统，研究了该类异步大系统的随机收敛性及随机稳定性条件．并就线性时不变情形得到有关系统系数矩阵的约束条件．最后通过一个实例分析说明同步与异步大系统的收敛性及稳定性的关系．

In this paper we study the stochastic stability and convergence conditions of a class of asynchronous large_scale systems with random state transition. Base upon this we get the constraint conditions on coefficient matrix of linear time_invariant systems. Lastly we compare the convergence and stability of synchronous and asynchronous large_scale systems by the case study.