Delay-dependent passive control of stochastic differential system with time delay

This paper investigates delay-dependent passive analysis and control for stochastic differential systems with time delay. The condition for delay-dependent passive control of stochastic differential systems with time delay is obtained by constructing Lyapunov-Krasovskii function, employing model transformation and Newton-Leibniz equality and slack matrix technique. Based on this condition, a delay-dependent passive controller is presented. The proposed results are formulated in terms of linear matrix inequalities (LMIs), which can be efficiently solved by standard convex optimization algorithms. And, a numerical example shows the effectiveness of the proposed method.