@inproceedings{5f4f952e08834562baa59d0d2f5fd4cf,
title = "Evaluation of lyapunov function candidates through averaging iterations",
abstract = "A complete Lyapunov function determines the behaviour of a dynamical system. In particular, it splits the phase space into the chain-recurrent set, where solutions show (almost) repetitive behaviour, and the part exhibiting gradient-like flow where the dynamics are transient. Moreover, it reveals the stability of sets and basins of attraction through its sublevel sets. In this paper, we combine two previous methods to compute complete Lyapunov functions: we employ quadratic optimization with equality and inequality constraints to compute a complete Lyapunov function candidate and we evaluate its quality by using a method that improves approximations of complete Lyapunov function candidates through iterations.",
keywords = "Chain-recurrent set, Complete lyapunov functions, Dynamical systems, Iterative methods, Numerical methods",
author = "Carlos Arg{\'a}ez and Peter Giesl and Sigurdur Hafstein",
note = "Publisher Copyright: Copyright {\textcopyright} 2020 by SCITEPRESS – Science and Technology Publications, Lda. All rights reserved.; 17th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2020 ; Conference date: 07-07-2020 Through 09-07-2020",
year = "2020",
language = "English",
series = "ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics",
publisher = "SciTePress",
pages = "734--744",
editor = "Oleg Gusikhin and Kurosh Madani and Janan Zaytoon",
booktitle = "ICINCO 2020 - Proceedings of the 17th International Conference on Informatics in Control, Automation and Robotics",
}