Abstract— This paper studies linear switched differential algebraic equations (DAEs), i.e., systems defined by a finite family of linear DAE subsystems and a switching signal t...
This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the...
Andrei A. Agrachev, Yuliy Baryshnikov, Daniel Libe...
The paper is devoted to the stability analysis of linear time varying delay. We first model the time varying delay system as an interconnected system between a known linear trans...
Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admi...
In this paper we consider the asymptotic stability of a class of discrete-time switching linear systems, where each of the constituent subsystems is Schur stable. We first present...
Selim Solmaz, Robert Shorten, Kai Wulff, Fiacre &O...