University of Sussex
Browse

File(s) under permanent embargo

Improved estimation of the chain-recurrent set

chapter
posted on 2023-06-10, 04:04 authored by Carlos Argaez, Peter GieslPeter Giesl, Sigurdur Freyr Hafstein
When studying the behaviour of dynamical systems, one particular goal is to find and isolate the periodic solutions and the equilibria. They are a subset of the chain-recurrent set of the dynamical system. In recent work, many improvements have been achieved in computing an approximation of a complete Lyapunov function of a given dynamical system and thus to identify the chain-recurrent set. A weak point in this approach, however, has been an over-estimation of the chain-recurrent set. In this work, we introduce a heuristic algorithm that reduces the overestimation in a simple and efficient way. Furthermore, a new and improved grid to evaluate the complete Lyapunov function is introduced to avoid unevaluated regions in the domain of the function.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

2019 18th European Control Conference, ECC 2019

Publisher

IEEE

Page range

1622-1627

Event name

2019 18th European Control Conference (ECC)

Event type

conference

Event date

25 Jun 2019 - 28 Jun 2019

Book title

2019 18th European Control Conference (ECC)

ISBN

9783907144008

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2022-06-24

First Compliant Deposit (FCD) Date

2022-06-24

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC