Subgradient algorithm for computing contraction metrics for equilibria
DOI10.3934/jcd.2022030zbMath1525.37087OpenAlexW4313909275MaRDI QIDQ6166779
Sigurður Freyr Hafstein, Christoph Kawan, David Thorsteinsson, Magnea Haraldsdottir, Peter Giesl
Publication date: 6 July 2023
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2022030
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40) Stability theory for difference equations (39A30) Computational methods for attractors of dynamical systems (37M22)
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Cites Work
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- Review on computational methods for Lyapunov functions
- Construction of a CPA contraction metric for periodic orbits using semidefinite optimization
- Converse theorems on contraction metrics for an equilibrium
- Subgradient algorithm on Riemannian manifolds
- On contraction analysis for non-linear systems
- A constructive converse Lyapunov theorem on exponential stability
- Auxiliary principle technique for hierarchical equilibrium problems
- Computation and verification of contraction metrics for exponentially stable equilibria
- Construction of a contraction metric by meshless collocation
- Dynamical systems, graphs, and algorithms
- Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
- DC auxiliary principle methods for solving lexicographic equilibrium problems
- Review on contraction analysis and computation of contraction metrics
- Stability regions of nonlinear autonomous dynamical systems
- Planar regions of attraction
- GLOBAL ANALYSIS BY CELL MAPPING
- Iteration-complexity of the subgradient method on Riemannian manifolds with lower bounded curvature
- Subgradient algorithms on Riemannian manifolds of lower bounded curvatures
- Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions
- New subgradient extragradient methods for solving monotone bilevel equilibrium problems
- An intrinsic observer for a class of lagrangian systems
- A Converse Sum of Squares Lyapunov Result With a Degree Bound
- A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem
- Computation of Lyapunov functions for smooth nonlinear systems using convex optimization
