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AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 3 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...
CDC
2008
IEEE
117views Control Systems» more  CDC 2008»
13 years 10 months ago
Simulation-aided reachability and local gain analysis for nonlinear dynamical systems
Abstract— We analyze reachability properties and local input/output gains of systems with polynomial vector fields. Upper bounds for the reachable set and nonlinear system gains...
Weehong Tan, Ufuk Topcu, Peter Seiler, Gary J. Bal...
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 years 8 months ago
Stability of quantized time-delay nonlinear systems: A Lyapunov-Krasowskii-functional approach
Lyapunov-Krasowskii functionals are used to design quantized continuous-time control laws for nonlinear systems in the presence of time-invariant pointwise delays in the input. Th...
Claudio De Persis, Frédéric Mazenc
CDC
2009
IEEE
144views Control Systems» more  CDC 2009»
13 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,...
MCSS
2007
Springer
13 years 3 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