Stabilizing graph-dependent linear switched systems with unstable subsystems. (May 2020)

• Record Type: Journal Article
• Authors: Agarwal, Nikita
• Is Part Of: European journal of control. Volume 53(2020)
• Page Start: 20
• Page End: 28
• Publication Date: 2020-05
• Subjects: Piecewise-continuous dynamical systems -- Graph theory -- Control theory; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2019.10.005
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: We give sufficient conditions for stability of a continuous-time linear switched system consisting of finitely many subsystems. The switching between subsystems is governed by an underlying graph. The results are applicable to switched systems having some or all non-Hurwitz subsystems. We also present a slow-fast switching mechanism on subsystems comprising simple loops of underlying graph to ensure stability of the switched system.