Sub-Lagrangians and sub-Hamiltonians on affine bundles

DOI10.1007/s10958-009-9551-7zbMath1192.49049OpenAlexW2167064303MaRDI QIDQ844442

N. E. Zubov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9551-7

zbMATH Keywords

dualitysub-Riemannian metricsPontryagin maximum principlesub-Hamiltoniansub-Lagrangians

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational problems in a geometric measure-theoretic setting (49Q20) Duality theory (optimization) (49N15) Applications of variational problems to control theory (58E25)

Cites Work

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• Sub-Riemannian geometry
• Various approaches to conservative and nonconservative nonholonomic systems
• The geometry of higher-order Lagrange spaces. Applications to mechanics and physics
• Lie brackets on affine bundles
• A connection theoretic approach to sub-Riemannian geometry.
• Categories of modules with differentials
• Lie algebroid structures and Lagrangian systems on affine bundles
• Control theory from the geometric viewpoint.
• Feedback-invariant optimal control theory and differential geometry. I: Regular extremals
• Geometric Description of Vakonomic and Nonholonomic Dynamics. Comparison of Solutions
• Sub-Finslerian Metric Associated to an Optimal Control System
• A Lie algebroid framework for non-holonomic systems

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