Subgradient Algorithm for computing Contraction Metrics for Equilibria.pdf (1.83 MB)
Subgradient algorithm for computing contraction metrics for equilibria
journal contribution
posted on 2023-11-15, 15:30 authored by Peter GieslPeter Giesl, Sigurdur Hafstein, Magnea Haraldsdottir, David Thorsteinsson, Christoph KawanWe 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 DynamicsISSN
2158-2505Publisher
American Institute of Mathematical SciencesExternal DOI
Page range
1-23Department 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.”Institution
University of SussexFull text available
- Yes
Peer reviewed?
- Yes