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» Lyapunov stability analysis of higher-order 2-D systems
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CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
13 years 10 days ago
On parameterized Lyapunov and control Lyapunov functions for discrete-time systems
This paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constrai...
Mircea Lazar, Rob H. Gielen
MCS
2008
Springer
13 years 5 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
SIAMCO
2000
75views more  SIAMCO 2000»
13 years 5 months ago
Feedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given toleran...
F. H. Clarke, Yu. S. Ledyaev, L. Rifford, R. J. St...
AUTOMATICA
2004
92views more  AUTOMATICA 2004»
13 years 5 months ago
Randomized algorithms for quadratic stability of quantized sampled-data systems,
In this paper, we present a novel development of randomized algorithms for quadratic stability analysis of sampled-data systems with memoryless quantizers. The speci
Hideaki Ishii, Tamer Basar, Roberto Tempo
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 years 8 months ago
Combination of Lyapunov functions and density functions for stability of rotational motion
— Lyapunov methods and density functions provide dual characterizations of the solutions of a nonlinear dynamic system. This work exploits the idea of combining both techniques, ...
José Fernandes Vasconcelos, Anders Rantzer,...