Contraction theory on Riemannian manifolds

DOI10.1016/j.sysconle.2013.12.016zbMath1285.93031OpenAlexW2105758800WikidataQ115340984 ScholiaQ115340984MaRDI QIDQ2446818

John W. Simpson-Porco, Bullo, Francesco

Publication date: 22 April 2014

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2013.12.016

zbMATH Keywords

nonlinear controldifferential geometric methodsincremental stabilitycontraction theory

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Stability of control systems (93D99)

Related Items (11)

Gradient and passive circuit structure in a class of non-linear dynamics on a graph ⋮ Contraction analysis of switched systems via regularization ⋮ B-stability of numerical integrators on Riemannian manifolds ⋮ On contraction of functional differential equations with Markovian switching ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Controlled Invariant Distributions and Differential Properties ⋮ Synchronization of diffusively coupled systems on compact Riemannian manifolds in the presence of drift ⋮ Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework ⋮ Forward sensitivity analysis for contracting stochastic systems ⋮ Contracting differential equations in weighted Banach spaces ⋮ Contraction after small transients

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