Computation and verification of contraction metrics for periodic orbits

DOI10.1016/J.JMAA.2021.125309zbMath1471.34076OpenAlexW3160522147MaRDI QIDQ2041725

Peter Giesl, Iman Mehrabinezhad, Sigurður Freyr Hafstein

Publication date: 23 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125309

zbMATH Keywords

periodic orbitsLyapunov stabilitybasin of attractionradial basis functionscontraction metriccontinuous piecewise affine interpolation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Review on contraction analysis and computation of contraction metrics

Cites Work

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• Construction of a CPA contraction metric for periodic orbits using semidefinite optimization
• Converse theorems on contraction metrics for an equilibrium
• Linear programming based Lyapunov function computation for differential inclusions
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• Computation and verification of contraction metrics for exponentially stable equilibria
• Construction of a contraction metric by meshless collocation
• Transverse contraction criteria for existence, stability, and robustness of a limit cycle
• Numerical approximation of the data-rate limit for state estimation under communication constraints
• Computation and Verification of Lyapunov Functions
• On Global Asymptotic Stability of Solutions of Differential Equations
• Kernel-Based Discretization for Solving Matrix-Valued PDEs
• Computation of a Contraction Metric for a Periodic Orbit Using Meshfree Collocation
• Dynamical Systems with a Certain Local Contraction Property.

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