Variational integrators in discrete time-dependent optimal control theory

DOI10.1007/s13398-011-0037-3zbMath1263.37082OpenAlexW2165087600MaRDI QIDQ1935057

Ana G. Sípols, Pedro L. García, Antonio Fernández

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0037-3

zbMATH Keywords

optimal controldiscretizationsvariational integrators

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Discrete variational integrators and optimal control theory
• Some geometric aspects of variational calculus in constrained systems
• Vakonomic mechanics versus non-holonomic mechanics: A unified geometrical approach
• Variational integrators in discrete vakonomic mechanics
• Cartan forms for first order constrained variational problems
• Lagrangian and Hamiltonian formalism for constrained variational problems

This page was built for publication: Variational integrators in discrete time-dependent optimal control theory