A graph theoretic approach to input-to-state stability of switched systems. (May 2016)

• Record Type: Journal Article
• Authors: Kundu, Atreyee; Chatterjee, Debasish
• Is Part Of: European journal of control. Volume 29(2016:May)
• Page Start: 44
• Page End: 50
• Publication Date: 2016-05
• Subjects: Discrete-time switched systems -- Weighted digraphs -- Algorithmic synthesis -- Input-to-state stability; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2016.03.003
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: This article deals with input-to-state stability (ISS) of discrete-time switched systems. Given a family of nonlinear systems with exogenous inputs, we present a class of switching signals under which the resulting switched system is ISS. We allow non-ISS systems in the family and our analysis involves graph-theoretic arguments. A weighted digraph is associated to the switched system, and a switching signal is expressed as an infinite walk on this digraph, both in a natural way. Our class of stabilizing switching signals (infinite walks) is periodic in nature and affords simple algorithmic construction.