On numerical construction of homogeneous Lyapunov functions

Denis Efimov 1 Rosane Ushirobira 1 Jaime Moreno 2 Wilfrid Perruquetti 1
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The problem of synthesis of a homogeneous Lyapunov function for an asymptotically stable homogeneous system is studied. For systems with a nonnegative degree of homogeneity, a numeric procedure is proposed, which provides a digital representation of a homogeneous Lyapunov function. The results are illustrated by two planar examples of linear and nonlinear systems.
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Submitted on : Friday, October 6, 2017 - 1:32:02 PM
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Denis Efimov, Rosane Ushirobira, Jaime Moreno, Wilfrid Perruquetti. On numerical construction of homogeneous Lyapunov functions. 56th IEEE Conference on Decision and Control (CDC), Dec 2017, Melbourne, Australia. ⟨hal-01611979⟩



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