A counterexample to a conjecture of McDanell

DOI10.1016/0167-6911(87)90013-2zbMath0618.49009OpenAlexW1966115455WikidataQ123230538 ScholiaQ123230538MaRDI QIDQ1822347

Guolin Pan, David J. Bell

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90013-2

zbMATH Keywords

junctionsnecessary conditions for optimalityMcDanell's conjecturepartially singular optimal control trajectory

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (2)

Junction times in singular optimal control ⋮ Optimality conditions at junctions of singular and nonsingular controls

Cites Work

• On the order of singular optimal control problems
• Definitions of Order and Junction Conditions in Singular Optimal Control Problems
• I. First-order systems
• The search for a counter-example in a class of optimal control problems II. Second-order systems
• A note on junction conditions for partially singular trajectories
• Necessary conditions at the junction of singular and non-singular control subarcs
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs

This page was built for publication: A counterexample to a conjecture of McDanell