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Subgradient Algorithm for computing Contraction Metrics for Equilibria.pdf (1.83 MB)
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Subgradient algorithm for computing contraction metrics for equilibria

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journal contribution
posted on 2023-06-10, 05:54 authored by Peter GieslPeter Giesl
We propose a subgradient algorithm for the computation of contraction metrics for systems with an exponentially stable equilibrium. We show that for sufficiently smooth systems our method is always able to compute a contraction metric on any forward-invariant compact neighbourhood of the equilibrium, which is a subset its basin of attraction. We demonstrate the applicability of our method by constructing contraction metrics for three planar and one three-dimensional systems.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Computational Dynamics

ISSN

2158-2505

Publisher

American Institute of Mathematical Sciences

Page range

1-23

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Analysis and Partial Differential Equations Research Group Publications

Notes

This article has been published in a revised form in Journal of Computational Dynamics https://doi.org/10.3934/jcd.2022030. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.”

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2023-01-10

First Open Access (FOA) Date

2023-01-18

First Compliant Deposit (FCD) Date

2023-01-09

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