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Authors: Benjamin Bocquillon 1 ; Philippe Feyel 1 ; Guillaume Sandou 2 and Pedro Rodriguez-Ayerbe 2

Affiliations: 1 Safran Electronics & Defense, 100 avenue de Paris, Massy, France ; 2 Université Paris-Saclay, CentraleSupélec, CNRS, L2S, 3 rue Joliot Curie, 91192 Gif-Sur-Yvette, France

Keyword(s): Lyapunov Function, Domain of Attraction, Optimization, Neural Network, Nonlinear System.

Abstract: This contribution deals with a new approach for computing Lyapunov functions represented by neural networks for nonlinear discrete-time systems to prove asymptotic stability. Based on the Lyapunov theory and the notion of domain of attraction, the proposed approach deals with an optimization method for determining a Lyapunov function modeled by a neural network while maximizing the domain of attraction. Several simulation examples are presented to illustrate the potential of the proposed method.

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Paper citation in several formats:
Bocquillon, B. ; Feyel, P. ; Sandou, G. and Rodriguez-Ayerbe, P. (2020). Computation of Neural Networks Lyapunov Functions for Discrete and Continuous Time Systems with Domain of Attraction Maximization. In Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - NCTA; ISBN 978-989-758-475-6; ISSN 2184-3236, SciTePress, pages 471-478. DOI: 10.5220/0010176504710478

@conference{ncta20,
author={Benjamin Bocquillon and Philippe Feyel and Guillaume Sandou and Pedro Rodriguez{-}Ayerbe},
title={Computation of Neural Networks Lyapunov Functions for Discrete and Continuous Time Systems with Domain of Attraction Maximization},
booktitle={Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - NCTA},
year={2020},
pages={471-478},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010176504710478},
isbn={978-989-758-475-6},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 12th International Joint Conference on Computational Intelligence (IJCCI 2020) - NCTA
TI - Computation of Neural Networks Lyapunov Functions for Discrete and Continuous Time Systems with Domain of Attraction Maximization
SN - 978-989-758-475-6
IS - 2184-3236
AU - Bocquillon, B.
AU - Feyel, P.
AU - Sandou, G.
AU - Rodriguez-Ayerbe, P.
PY - 2020
SP - 471
EP - 478
DO - 10.5220/0010176504710478
PB - SciTePress

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