Version 2 2023-11-15, 15:30Version 2 2023-11-15, 15:30
Version 1 2023-06-10, 05:54Version 1 2023-06-10, 05:54
journal contribution
posted on 2023-11-15, 15:30authored byPeter GieslPeter Giesl, Sigurdur Hafstein, Magnea Haraldsdottir, David Thorsteinsson, Christoph Kawan
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.
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.”