loading
Papers

Research.Publish.Connect.

Paper

Authors: Carlos Argáez 1 ; Peter Giesl 2 and Sigurdur Hafstein 1

Affiliations: 1 Science Institute, University of Iceland, VR-III, 107 Reykjavík and Iceland ; 2 Department of Mathematics, University of Sussex and U.K.

ISBN: 978-989-758-323-0

Keyword(s): Dynamical System, Complete Lyapunov Function, Orbital Derivative, Meshless Collocation, Radial Basis Functions.

Related Ontology Subjects/Areas/Topics: Dynamical Systems Models and Methods ; Formal Methods ; Mathematical Simulation ; Non-Linear Systems ; Simulation and Modeling

Abstract: Dynamical systems describe the evolution of quantities governed by differential equations. Hence, they represent a very powerful prediction tool in many disciplines such as physics and engineering, chemistry and biology and even in economics, among others. Their importance relies on their capability of predicting, as a function of time, future states of the corresponding system under consideration by means of the current, known state. Many difficulties arise when trying to solve such systems. Complete Lyapunov functions allow for the systematic study of complicated dynamical systems. In this paper, we present a new iterative algorithm that avoids obtaining trivial solutions when constructing complete Lyapunov functions. This algorithm is based on mesh-free numerical approximation and analyzes the failure of convergence in certain areas to determine the chain-recurrent set.

PDF ImageFull Text

Download
CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 34.204.171.108

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Argáez, C.; Giesl, P. and Hafstein, S. (2018). Iterative Construction of Complete Lyapunov Functions.In Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-758-323-0, pages 211-222. DOI: 10.5220/0006835402110222

@conference{simultech18,
author={Carlos Argáez. and Peter Giesl. and Sigurdur Hafstein.},
title={Iterative Construction of Complete Lyapunov Functions},
booktitle={Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},
year={2018},
pages={211-222},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006835402110222},
isbn={978-989-758-323-0},
}

TY - CONF

JO - Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Iterative Construction of Complete Lyapunov Functions
SN - 978-989-758-323-0
AU - Argáez, C.
AU - Giesl, P.
AU - Hafstein, S.
PY - 2018
SP - 211
EP - 222
DO - 10.5220/0006835402110222

Login or register to post comments.

Comments on this Paper: Be the first to review this paper.