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MCSS
2007
Springer
13 years 7 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
CDC
2008
IEEE
239views Control Systems» more  CDC 2008»
14 years 1 months ago
Construction of Lyapunov-Krasovskii functional for time-varying delay systems
This paper provides some new techniques to construct a LyapunovKrasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time...
Yassine Ariba, Frédéric Gouaisbaut
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 1 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
HYBRID
2010
Springer
13 years 9 months ago
On infinity norms as Lyapunov functions for piecewise affine systems
This paper considers off-line synthesis of stabilizing static feedback control laws for discrete-time piecewise affine (PWA) systems. Two of the problems of interest within this f...
Mircea Lazar, Andrej Jokic
CORR
2011
Springer
187views Education» more  CORR 2011»
13 years 2 months ago
Global Stability Analysis of Fluid Flows using Sum-of-Squares
This paper introduces a new method for proving global stability of fluid flows through the construction of Lyapunov functionals. For finite dimensional approximations of fluid...
Paul Goulart, Sergei Chernyshenko