Functional differential inequalities and time-delay stochastic systems. IV: Criteria for practical stability (Q1203886)

The concept of mean-square practical stability is proposed for time-delay stochastic systems, and by using the Lyapunov-like functions and the comparison principle of time-delay stochastic systems which had been set up by the authors [see parts I and II (by the first and third author) in: Spec. Issues of youth papers on ordinary differential equations (Chinese), 193-197, 198-202 (1991)], theorems for mean-square practical stability are given. These theorems convert the problem of mean-square practical stability of time-delay stochastic systems into the problem of practical stability of the corresponding auxiliary deterministic systems.