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Construction of a contraction metric for time-periodic systems using meshless collocation.pdf (371.62 kB)

Construction of a contraction metric for time-periodic systems using meshless collocation

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posted on 2024-06-10, 13:28 authored by Peter GieslPeter Giesl, Sigurdur Hafstein

The existence and stability of a periodic orbit for time-periodic systems as well as its basin of attraction can be determined using a contraction metric. In this paper, we will present a numerical construction method based on meshless collocation with radial basis functions. We will first show the existence of a contraction metric satisfying a partial differential equation and then use meshless collocation to approximately solve it, which results in a contraction metric, if the fill distance is sufficiently small.


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  • Published

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  • Accepted version

Journal

IEEE Control Systems Letters

ISSN

2475-1456

Publisher

IEEE

Department affiliated with

  • Mathematics Publications

Institution

University of Sussex

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  • Yes

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  • Yes

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