The problem of finite-time boundedness for a class of switched linear systems with time-varying delay and external disturbance is investigated. First of all, the multiply Lyapunov function of the system is constructed. Then, based on the Jensen inequality approach and the average dwell time method, the sufficient conditions which guarantee the system is finite-time bounded are given. Finally, an example is employed to verify the validity of the proposed method.
"Finite-Time Boundedness Analysis for a Class of Switched Linear Systems with Time-Varying Delay." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/982414