Minimizers That Are Not Also Relaxed Minimizers

DOI10.1137/130909627zbMath1307.49016OpenAlexW2043090035MaRDI QIDQ2930953

Michele Palladino, Richard B. Vinter

Publication date: 21 November 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/40473

zbMATH Keywords

optimal controlstate constraintsnecessary optimality conditionsdifferential inclusionsconvexificationrelaxed minimizersrelaxation gap

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (8)

Unbounded Control, Infimum Gaps, and Higher Order Normality ⋮ A geometrically based criterion to avoid infimum gaps in optimal control ⋮ Optimality Conditions (in Pontryagin Form) ⋮ Normality and gap phenomena in optimal unbounded control ⋮ Necessary conditions for optimality in problems of optimal control of systems with discontinuous right-hand side ⋮ Gap phenomena and controllability in free end-time problems with active state constraints ⋮ Free end-time optimal control problems: conditions for the absence of an infimum gap ⋮ When are minimizing controls also minimizing relaxed controls?

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