Abstract

This paper studies stability analysis for impulsive switched systems with time delays and state-dependent impulses. To guarantee the uniqueness and existence of the solution, the B-equivalence method is applied to rule out the Zeno and beating phenomena, and impulsive switched time-delay systems with state-dependent impulses are transformed into impulsive switched time-delay systems with time-dependent impulses. The equivalence between the original system and the transformed system is established. With the transformed system and using the Lyapunov-based approach, stability conditions are derived for the original system in terms of linear matrix inequalities. Finally, a numerical example is presented to illustrate the developed results.

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