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AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 7 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»
13 years 7 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...
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 years 10 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,...
SIAMCO
2008
127views more  SIAMCO 2008»
13 years 7 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»
14 years 2 days 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...