OPTIMAL CONTROL REALIZATIONS OF LAGRANGIAN SYSTEMS WITH SYMMETRY

DOI10.1142/S0219887811005853zbMath1243.49053arXiv1203.2207OpenAlexW2013508568MaRDI QIDQ2893174

Marina Delgado-Téllez, Thalia Maria Rodríguez de la Peña, Alberto Ibort

Publication date: 26 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2207

zbMATH Keywords

optimal controlvariational problemsLagrangian systems with symmetry

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (1)

Solving quantum optimal control problems using Clebsch variables and Lin constraints

Cites Work

• Lin constraints, Clebsch potentials and variational principles
• Control of mechanical systems on Lie groups and ideal hydrodynamics
• Continuous and discrete Clebsch variational principles
• Variational principles on principal fiber bundles: A geometric theory of Clebsch potentials and Lin constraints
• Reduction of symplectic manifolds with symmetry
• The symmetric representation of the rigid body equations and their discretization
• Lie Theory and Control Systems Defined on Spheres
• System Theory on Group Manifolds and Coset Spaces
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