Delay dependent stability analysis of interval time-delay systems
Abstract
We consider interval time-varying delay systems. The time-delay interval is divided into several zones and the systems switch among the different zones. Based on Lyapunov-Krasovskii functional methods and on linear matrix inequality (LMI) techniques, exponential stability is exploited for every time-delay zone. The global stability of the switched system is guaranteed if some minimum average dwell time conditions are satisfied. Numerical examples and comparisons with other works show that the methods enlarge the value of the maximum upper-bound of allowable time-delays.
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