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CDC
2010
IEEE
125views Control Systems» more  CDC 2010»
12 years 11 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...
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
MCS
2008
Springer
13 years 4 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek