Abstract:The feedbackSScontrol for switched distributed parameter system with continuous distributed time-delay is considered. By constructing switched Lyapunov-Krasovskii functions, using poincare inequalit, Jensen inequality and employing linear matrix inequalities method, an asymptotical stability’s condition of the closed-loop system is given. Furthermore, the state feedback controller and the switching law are designed. Compared with the result of distributed parameter system with continuous distributed time-delay, on the one hand, the research considered the influence of the Laplacian coefficient; on the other hand, the obtained result can be regarded as the extension of control for distributed parameter system with continuous distributed time-delay. Finally, numerical examples are given to illustrate the validity and merit of the result.