A Sufficient Condition for the Almost Global Stability of Nonlinear Switched Systems with Average Dwell Time

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Abstract

A sufficient condition for the almost global sta-bility of nonlinear switched systems under average dwell timerestriction is obtained. This condition is derived leaning uponthe existence of multiple Lyapunov densities, which are associ-ated to subsystems and satisfy some compatibility conditions.An upper bound for the average dwell time that ensures almostglobal stability is obtained.

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last seen: 2026-05-19T01:45:01.086888+00:00