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» Lyapunov functionals and matrices
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125
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AUTOMATICA
2008
146views more  AUTOMATICA 2008»
15 years 4 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
SCL
2008
79views more  SCL 2008»
15 years 3 months ago
Stability of block-triangular stationary random matrices
The objective of this note is to prove, under certain technical conditions, that the top-Lyapunov exponent of a strictly stationary random sequence of block-triangular matrices is...
László Gerencsér, György...
152
Voted
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
15 years 7 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,...
116
Voted
SIAMCO
2008
127views more  SIAMCO 2008»
15 years 3 months ago
Control Lyapunov Functions and Zubov's Method
For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov fun...
Fabio Camilli, Lars Grüne, Fabian Wirth
CDC
2009
IEEE
160views Control Systems» more  CDC 2009»
15 years 8 months ago
On piecewise quadratic control-Lyapunov functions for switched linear systems
— In this paper, we prove that a discrete-time switched linear system is exponentially stabilizable if and only if there exists a stationary hybrid-control law that consists of a...
Wei Zhang, Alessandro Abate, Michael P. Vitus, Jia...