Construction of a CPA contraction metric for periodic orbits using semidefinite optimization

DOI10.1016/j.na.2013.03.012zbMath1294.34046arXiv1211.3022OpenAlexW2036530556MaRDI QIDQ392469

Peter Giesl, Sigurður Freyr Hafstein

Publication date: 14 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3022

zbMATH Keywords

semidefinite optimizationcontraction metricperiodic differential equationperiodic orbit, basin of attraction

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Numerical approximation of the data-rate limit for state estimation under communication constraints ⋮ Kernel-Based Discretization for Solving Matrix-Valued PDEs ⋮ Subgradient algorithm for computing contraction metrics for equilibria ⋮ Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Learning dynamical systems using local stability priors ⋮ Computation and verification of contraction metrics for exponentially stable equilibria ⋮ Converse theorems on contraction metrics for an equilibrium ⋮ Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation ⋮ Computation and verification of contraction metrics for periodic orbits ⋮ Simplicial complex with approximate rotational symmetry: a general class of simplicial complexes ⋮ Computation of a Contraction Metric for a Periodic Orbit Using Meshfree Collocation ⋮ Review on computational methods for Lyapunov functions

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