Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Almost Global Stability of Nonlinear Switched System with Stable and Unstable Subsystems

Version 1 : Received: 15 December 2020 / Approved: 16 December 2020 / Online: 16 December 2020 (13:43:30 CET)

How to cite: Kivilcim, A.; Karabacak, O.; Wisniewski, R. Almost Global Stability of Nonlinear Switched System with Stable and Unstable Subsystems. Preprints 2020, 2020120413 (doi: 10.20944/preprints202012.0413.v1). Kivilcim, A.; Karabacak, O.; Wisniewski, R. Almost Global Stability of Nonlinear Switched System with Stable and Unstable Subsystems. Preprints 2020, 2020120413 (doi: 10.20944/preprints202012.0413.v1).

Abstract

This paper presents sufficient conditions for almost global stability of nonlinear switched systems consisting of both stable and unstable subsystems. Techniques from the stability analysis of switched systems have been combined with the multiple Lyapunov density approach - recently proposed by the authors for the almost global stability of nonlinear switched systems composed of stable subsystems. By using slow switching for stable subsystems and fast switching for unstable subsystems lower and upper bounds for mode-dependent average dwell times are obtained. In addition to that, by allowing each subsystem to perform slow switching and using some restrictions on total operation time of unstable subsystems and stable subsystems, we have obtained a lower bound for an average dwell time.

Subject Areas

switched systems, stable and unstable subsystems, Lyapunov density, average dwell time, mode-dependent average dwell time

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