Abstract
This article deals with the state bounding problem for discrete-time switched nonlinear time-varying systems with multiple time delays and bounded disturbances. With the aid of the average dwell time method and a technique used in positive systems, we put forward new criteria such that all solutions of the system exponentially converge to a ball under the designed average dwell time (ADT) switching, where the given ADT does not depend on the upper bound of delays. Simulation and numerical examples are presented to illustrate the validity of our results.
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