Stability analysis of switched discrete time stochastic systems

In this paper, for a class of switched stochastic discrete (SSD) systems, the 2-th moment stability is investigated. First, the indexes measuring the stability or unstability of subsystems are defined, which unlike the continuous systems are directly affected by the disturbances. Then, together with the method of averaged dwell-time (ADT), a stability result is obtained for a cases of specific switching laws. The result is with some clear and stronger quantitative character, and also illuminates the effect of the stochastic disturbance with constant gain on SSD systems.