Normal control problems have no minimizing strictly original solutions

DOI10.1090/S0002-9904-1971-12779-9zbMath0237.49004MaRDI QIDQ5647519

Jack Warga

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Related Items (10)

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 ⋮ Controllability, extremality, and abnormality in nonsmooth optimal control ⋮ Existence of optimum controls ⋮ No infimum gap and normality in optimal impulsive control under state constraints ⋮ 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?

Cites Work

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• Necessary conditions for minimum in relaxed variational problems
• Conflicting and minimax controls
• On a class of pursuit and evasion problems
• Necessary conditions in the calculus of variations
• Existence theorems for Bolza problems in the calculus of variations
• Control Problems with Functional Restrictions
• Unilateral and Minimax Control Problems Defined by Integral Equations

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