Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 25 April 2019 / Approved: 28 April 2019 / Online: 28 April 2019 (09:52:16 CEST)

How to cite: İlhan, F.; Karabacak, O.; Wisniewski, R. A Sufficient Condition for the Almost Global Stability of Nonlinear Switched Systems with Average Dwell Time. Preprints 2019, 2019040307 (doi: 10.20944/preprints201904.0307.v1). İlhan, F.; Karabacak, O.; Wisniewski, R. A Sufficient Condition for the Almost Global Stability of Nonlinear Switched Systems with Average Dwell Time. Preprints 2019, 2019040307 (doi: 10.20944/preprints201904.0307.v1).

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.

Subject Areas

almost global stability; switched systems

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