Solutions of a Hamiltonian system with two-dimensional control in a neighbourhood of a singular second-order extremal

DOI10.1070/RM10018zbMath1486.49003OpenAlexW4206297252WikidataQ114102376 ScholiaQ114102376MaRDI QIDQ5069066

L. V. Lokutsievskiy, L. A. Manita, M. I. Ronzhina

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10018

zbMATH Keywords

Hamiltonian systemssingular pointPontryagin's maximum principlesingular extremalssingular trajectories

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

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