New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems

New Results on Finite-Time Stability and Stabilization of Switched Positive Linear Time-Delay Systems

Blog Article

In this paper, the problems of finite-time stability and stabilization for switched positive linear Furnitue time-delay systems under mode-dependent average dwell time (MDADT) are investigated.By proposing a novel multiple piecewise copositive Lyapunov-Krasovskii functional, new results on the sufficient conditions of finite-time stability are obtained.In order to solve the limitation of the multiple piecewise copositive Lyapunov-Krasovskii functional on designing controllers, a novel linear combinatorial copositive Lyapunov-Krasovskii functional is constructed, this provides a possibility for the numerical construction of the controller.Then by using state feedback controller, the finite-time stabilization is achieved.

Finally, some simulation results USB Updated Cable Set are given to show the advantages of our methods.