On the minimum time map

DOI10.1007/BF01811731zbMath0479.58016OpenAlexW2049321586MaRDI QIDQ1162035

Gianna Stefani

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01811731

zbMATH Keywords

control theoryfamily of vector fieldsminimum time mapmultivalued field on a paracompact manifoldsets of attainable states for multivalued differential equation

Mathematics Subject Classification ID

Observability (93B07) Control/observation systems governed by ordinary differential equations (93C15) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Self-accessibility of a set with respect to a multivalued field
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• On the uniform boundedness of solutions of contingent equations
• Functional analysis and time optimal control
• Control systems on Lie groups
• On the Bellman function for the time-optimal process problem
• The Existence of Complete Riemannian Metrics
• Structure Métrique des Orbites de Familles Symétriques de Champs de Vecteurs et Théorie du Temps Minimum
• Orbits of Families of Vector Fields and Integrability of Distributions
• On the Closure and Convexity of Attainable Sets in Finite and Infinite Dimensions
• Contributions to the theory of generalized differential equations. I.
• Geometric Theory of Time-Optimal Control

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