Abstract
This note is concerned with the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse and disturbance. Based on a novel method which does not involve the usual Lyapunov-Krasovskii functional approach, sufficient conditions, under the designed average dwell time switching, are provided for the characterization of a special sphere such that all the states of the system converge exponentially within it. Moreover, an extension is available to the result of linear time-varying systems. Finally, two simulation results are illustrated by examples to show the validity.
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