Finite-time boundedness of switched systems with time-varying delays via sampled-data control

摘要

In the framework of sampled-data control, finite-time boundedness (FTB) of switched systems with time-varying delays is investigated. Sufficient conditions for FTB of switched systems with time-varying delays via sampled-data control are proposed. Moreover, considering the relationship between the sampling period and the mode-dependent average dwell time, switching signals are designed. In addition, finite-time weighted L-2-gain (FTW-L-2-gain) of switched systems with time-varying delays is proposed to measure their disturbance tolerance capacity within a finite-time interval. Multiple Lyapunov-Krasovskii functionals are applied to complete subsequent proofs in detail. Simulation results are exemplified to verify the proposed method.