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.
https://hal.inria.fr/hal-01611979
Contributor : Denis Efimov
<>
Submitted on : Friday, October 6, 2017 - 1:32:02 PM
Last modification on : Friday, March 22, 2019 - 1:34:40 AM
Long-term archiving on: Monday, January 8, 2018 - 1:41:16 PM
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⟩
