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CDC
2009
IEEE
211views Control Systems» more  CDC 2009»
13 years 9 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
AUTOMATICA
2008
118views more  AUTOMATICA 2008»
13 years 5 months ago
Root-mean-square gains of switched linear systems: A variational approach
We consider the problem of computing the root-mean-square (RMS) gain of switched linear systems. We develop a new approach which is based on an attempt to characterize the "w...
Michael Margaliot, João Pedro Hespanha
CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 6 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
MOC
2002
82views more  MOC 2002»
13 years 4 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
13 years 1 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...