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CDC
2010
IEEE
145views Control Systems» more  CDC 2010»
13 years 2 months ago
Construction of Lyapunov functions for piecewise-deterministic Markov processes
The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], whe...
Alexandre R. Mesquita, João Pedro Hespanha
MCS
2008
Springer
13 years 7 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
ADCM
1998
132views more  ADCM 1998»
13 years 7 months ago
Numerical solution of generalized Lyapunov equations
Two e cient methods for solving generalized Lyapunov equations and their implementations in FORTRAN 77 are presented. The rst one is a generalization of the Bartels{Stewart method...
Thilo Penzl
SIAMCO
2000
52views more  SIAMCO 2000»
13 years 7 months ago
Lyapunov Characterizations of Input to Output Stability
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key ro...
Eduardo Sontag, Yuan Wang
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 7 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...