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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
SIAMCO
2008
93views more  SIAMCO 2008»
13 years 4 months ago
Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
We give a new sufficient condition on the boundary conditions for the exponential stability of one-dimensional nonlinear hyperbolic systems on a bounded interval. Our proof relies ...
Jean-Michel Coron, Georges Bastin, Brigitte d'Andr...
CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
12 years 12 months 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...
HYBRID
2010
Springer
13 years 11 months ago
Stabilization of planar switched linear systems using polar coordinates
Analysis of stability and stabilizability of switched linear systems is a well-researched topic. This article pursues a polar coordinate approach which offers a convenient framew...
Andrew B. Godbehere, Shankar S. Sastry
CDC
2008
IEEE
148views Control Systems» more  CDC 2008»
13 years 11 months ago
Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties
Abstract— This paper studies the robust stability and stabilization problems for switched linear discrete-time systems. The parameter uncertainties in the system under considerat...
Lixian Zhang, Peng Shi, Michael V. Basin