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On numerical construction of homogeneous Lyapunov functions

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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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Dates and versions

hal-01611979 , version 1 (06-10-2017)

Identifiers

  • HAL Id : hal-01611979 , version 1

Cite

Denis Efimov, Rosane Ushirobira, Jaime A. 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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