New Result on Finite-Time Boundedness Analysis for Switched Linear Time-Delay Systems

This paper focuses on the finite-time boundedness of switched linear time-delay systems with exogenous disturbance. An improved Lyapunov function with a finite number of discontinuities is presented for each system mode. By utilizing the newly proposed Lyapunov function together with the average dwell time (ADT) characteristics, a sufficient criterion is established to guarantee the finite-time boundedness of the underlying switched system. Finally, a numerical example is provided to show the validity and superiority of the method proposed in this paper.