CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS

DOI10.1142/S0219887809004193zbMath1181.49021arXiv0708.0102WikidataQ57948180 ScholiaQ57948180MaRDI QIDQ5851060

María Barbero-Liñán, Miguel C. Muñoz-Lecanda

Publication date: 21 January 2010

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

Full work available at URL: https://arxiv.org/abs/0708.0102

zbMATH Keywords

Pontryagin's maximum principleoptimal control problemspresymplecticabnormal and strict abnormal extremals

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Hamilton's equations (70H05) Control problems involving ordinary differential equations (34H05) Constrained dynamics, Dirac's theory of constraints (70H45) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

Deformation of piecewise differentiable curves in constrained variational calculus ⋮ Presymplectic high order maximum principle ⋮ A historical review on nonholomic mechanics ⋮ \(k\)-symplectic Pontryagin's maximum principle for some families of PDEs ⋮ An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems ⋮ Morse Families In Optimal Control Problems ⋮ Geometric constrained variational calculus I: Piecewise smooth extremals

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