Classification of stable time-optimal controls on 2-manifolds

DOI10.1007/s10958-006-0148-0zbMath1244.49031OpenAlexW1995145221MaRDI QIDQ443173

Igor V. Nikolaev, Benedetto Piccoli, Ugo V. Boscain

Publication date: 6 August 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0148-0

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Optimality conditions for free problems in two or more independent variables (49K10) Controllability, observability, and system structure (93B99)

Cites Work

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• Structural stability on two-dimensional manifolds
• Flows on 2-dimensional manifolds. An overview
• Optimal syntheses for control systems on 2-D manifolds
• Regular time-optimal syntheses for smooth planar systems
• Classification of Generic Singularities for the Planar Time-Optimal Synthesis
• A Generic Classification of Time-Optimal Planar Stabilizing Feedbacks
• Regular Synthesis and Sufficiency Conditions for Optimality
• Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method

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