Stability Analysis of Linear Stochastic Interval Systems

This paper studies the robust stability of linear stochastic interval systems with time-varying delay by using the interval matrix decomposition technique and delay segmentation technology. After constructing reasonable Lyapunov-Krasovskii functional, and introducing the appropriate number of liberty matrix, this paper establishes a sufficient conditions for the robust stability of linear stochastic interval systems with time-varying. This condition can effectively reduce the conservatism.