General symmetries in optimal control

DOI10.1016/S0034-4877(04)90004-3zbMath1085.49028OpenAlexW2020681603MaRDI QIDQ1433688

David Martín de Diego, Sonia Martínez, Manuel de León, Jorge Cortés

Publication date: 1 July 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(04)90004-3

zbMATH Keywords

symmetryoptimal controldynamicsconstrained variational problemsvakonomic systemsreduction and reconstruction

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Nonholonomic dynamical systems (37J60)

Related Items

Reduction in optimal control with broken symmetry for collision and obstacle avoidance of multi-agent system on Lie groups ⋮ Lie-Poisson reduction for optimal control of left-invariant control systems with subgroup symmetry ⋮ Geometric methods for adjoint systems ⋮ Optimal Control Problems with Symmetry Breaking Cost Functions ⋮ Singular Lagrangian systems and variational constrained mechanics on Lie algebroids ⋮ Uniform projectile motion: Dynamics, symmetries and conservation laws ⋮ Symmetries and conservation laws of Hamiltonian systems ⋮ CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS ⋮ Optimal control, contact dynamics and Herglotz variational problem

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