Singularities of the Hamiltonian vector field in optimal control problems

DOI10.1006/jmaa.2000.7202zbMath0988.49014OpenAlexW2023399700MaRDI QIDQ5927714

Helena Mena-Matos

Publication date: 14 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7202

zbMATH Keywords

optimal controlmaximum principlegeneric singularityHamiltonian vector fieldlocal phase portraitnormal form

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Dynamic programming in optimal control and differential games (49L20) Control of mechanical systems (70Q05) Singularities of vector fields, topological aspects (58K45)

Related Items (1)

Singularities of the Hamiltonian vectorfield in nonautonomous variational problems.

Cites Work

• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• Broken solutions of homogeneous variational problems
• SINGULARITIES OF FUNCTIONS ON BOUNDARIES, CORNERS, ETC.
• Geometric Theory of Extremals in Optimal Control Problems: I. The Fold and Maxwell Case
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