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.
Type de document :
Communication dans un congrès
56th IEEE Conference on Decision and Control (CDC), Dec 2017, Melbourne, Australia
https://hal.inria.fr/hal-01611979
Contributeur : Denis Efimov
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Soumis le : vendredi 6 octobre 2017 - 13:32:02
Dernière modification le : mercredi 4 juillet 2018 - 17:36:13
Document(s) archivé(s) le : lundi 8 janvier 2018 - 13:41:16
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〉
