Finite-time control for periodic systems with random transmission delays

This paper concentrates on the issue of finite-time controller design for periodic systems with random transmission delays over networked control systems. The definitions of stochastic finite-time stability and finite-time boundedness are respectively given at the beginning of this paper. Then, based on the Lyapunov function and the linear matrix inequalities (LMIs) technique, the sufficient conditions that can guarantee the system to be finite-time stable are derived via state feedback. At last, a numerical example is presented to illustrate the effectiveness of the proposed method.