Abstract :
In this paper, for a class of switched stochastic (SS) systems, the moment stability (M-S) and sample path stability (SP-S) are investigated, respectively, and there are three contributions. First, an existence result of solution is presented for a nonswitched stochastic system, the upper-bound estimations of higher moment are given. Then, by employing the concept of average dwell-time and dividing all subsystems into two parts, a sufficiency theorems is given for the M-S of the SS systems. Further, for SP-S of such systems, by estimating the exact upper-bounds of some random variables in the form of mathematical expectation, then under a comparatively unified and concise condition, a sufficiency theorem is presented.
Keywords :
control system analysis; stability; stochastic systems; average dwell-time; mathematical expectation; moment stability; random variables; sample path stability; stability analysis; sufficiency theorem; switched stochastic systems; upper-bound estimations; Agricultural engineering; Control systems; Educational institutions; Lyapunov method; Optimal control; Random variables; Stability analysis; Stochastic systems; Switched systems; Uncertainty; Moment stability; Sample path stability; Stochastic system; Switched;
