Necessary conditions for a minimum for nonregular problems in Banach spaces. A maximum principle for abnormal optimal control problems

zbMath0709.49007MaRDI QIDQ921563

Evgeniy Avakov

Publication date: 1990

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum principleabnormal problemsfirst order necessary conditionsabnormal optimal control problemsnonregular regime

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (7)

A high-order generalization of the Lyusternik theorem ⋮ Optimality and pareto optimality conditions for the problems with nonregular operator equality constraints ⋮ Generalized convexity for non-regular optimization problems with conic constraints ⋮ AN EXTENDED MAXIMUM PRINCIPLE ⋮ Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications ⋮ High-order tangent cones and their application in optimization ⋮ Lagrange's principle in extremum problems with constraints

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