Implicit function. Controllability and perturbation of optimal control problems

DOI10.1134/S0001434621030196zbMath1468.49019MaRDI QIDQ2037690

Evgeniy Avakov, Gregorij G. Magaril-Il'yaev

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

controllabilityoptimal control problemconvexificationlocal infimum

Mathematics Subject Classification ID

Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (1)

A note on the classical implicit function theorem

Cites Work

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• An implicit function theorem for inclusions defined by close mappings
• Gamkrelidze convexification and Bogolyubov's theorem
• Controllability and second-order necessary conditions for optimality
• Local infimum and a family of maximum principles in optimal control

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