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CDC
2009
IEEE
211views Control Systems» more  CDC 2009»
13 years 10 months ago
On stability of linear switched differential algebraic equations
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...
Daniel Liberzon, Stephan Trenn
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
13 years 23 days ago
Towards robust Lie-algebraic stability conditions for switched linear systems
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...
CDC
2009
IEEE
148views Control Systems» more  CDC 2009»
13 years 9 months ago
Input-output framework for robust stability of time-varying delay systems
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...
Yassine Ariba, Frédéric Gouaisbaut
AUTOMATICA
2008
112views more  AUTOMATICA 2008»
13 years 4 months ago
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
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...
Franco Blanchini, Carlo Savorgnan
AUTOMATICA
2008
152views more  AUTOMATICA 2008»
13 years 5 months ago
A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control
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...