Neighboring extremal optimal control for mechanical systems on Riemannian manifolds

DOI10.3934/jgm.2016007zbMath1369.49063OpenAlexW2523400111MaRDI QIDQ2358456

Rohit Gupta, Ilya V. Kolmanovsky, Anthony M. Bloch

Publication date: 15 June 2017

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2016007

zbMATH Keywords

mechanical systemsLie groupsRiemannian manifoldsneighboring extremal optimal control

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational problems in a geometric measure-theoretic setting (49Q20) Control of mechanical systems (70Q05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical systems in control (37N35)

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