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Improved estimation of the chain-recurrent set
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posted on 2023-06-10, 04:04 authored by Carlos Argaez, Peter GieslPeter Giesl, Sigurdur Freyr HafsteinWhen 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.
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Publication status
- Published
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- Accepted version
Journal
2019 18th European Control Conference, ECC 2019Publisher
IEEEExternal DOI
Page range
1622-1627Event name
2019 18th European Control Conference (ECC)Event type
conferenceEvent date
25 Jun 2019 - 28 Jun 2019Book title
2019 18th European Control Conference (ECC)ISBN
9783907144008Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2022-06-24First Compliant Deposit (FCD) Date
2022-06-24Usage metrics
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