Regularity properties of time-optimal trajectories of an analytic single- input control-linear system in dimension three

DOI10.1007/BF00939870zbMath0631.49006MaRDI QIDQ1094663

Heinz Schättler

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear systemstime-optimal controlbang-bang trajectorysingular arcanalytic subset

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Geometrical and topological methods in optimal control theory

Cites Work

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• Linear differential systems with singularities and an application to transitive Lie algebras
• On the Local Structure of Time-Optimal Bang-Bang Trajectories in $\mathbb{R}^3$
• The Local Structure of Time-Optimal Trajectories in Dimension Three under Generic Conditions
• The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The General Real Analytic Case
• A Bang-Bang Theorem with Bounds on the Number of Switchings
• Controllability of nonlinear systems

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