Generalized switching signals for input-to-state stability of switched systems. (February 2016)

• Record Type: Journal Article
• Authors: Kundu, Atreyee; Chatterjee, Debasish; Liberzon, Daniel
• Is Part Of: Automatica. Volume 64(2016)
• Page Start: 270
• Page End: 277
• Publication Date: 2016-02
• Subjects: Switched systems -- Input-to-state stability -- Multiple-ISS Lyapunov functions; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.11.027
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class of switching signals under which the resulting switched system is ISS. Our stabilizing switching signals allow the number of switches to grow faster than an affine function of the length of a time interval, unlike in the case of average dwell time switching. We also recast a subclass of average dwell time switching signals in our setting and establish analogs of two representative prior results.