切换转移率的随机Markov跳跃系统在驻留时间下的均方稳定性

摘要

研究了切换转移率的随机Markov跳跃线性系统的稳定性.通过状态二阶矩的时间更新研究了具有不确定噪声的切换转移率的随机Markov跳跃线性系统的均方稳定性,本文主要运用数学归纳法得到了在驻留时间约束下保证系统均方稳定的一个充分条件.%The stability of a class of stochastic Markov Jump Linear Systems characterized by piecewise constant transition rates and system dynamics was studied. For these switching stochastic Markov Jump Linear Systems, mean square stability was investigated through the time evolution of the second - order moment of the state. The main result is a sufficient condition that guarantees mean square stability under dwell - time constraints.