Abstract

This article deals with the dwell time stability problem of discrete-time positive linear switching delay systems with interval uncertainties. A new time-varying Lyapunov function is constructed by the method of expanding the dimension. Both the mode-dependent range dwell time and the mode-dependent minimum dwell time are taken into consideration. New stability criteria of the system are presented under two types of switching signals. All the results are obtain by using linear inequalities that can be verified based on the linear programming (LP). In the end, some examples are proposed to illustrate the correctness and validity of our results.

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