Optimality conditions of singular controls for systems with Caputo fractional derivatives

DOI10.3934/jimo.2021182OpenAlexW3212927196MaRDI QIDQ2083370

Shakir Sh. Yusubov, Elimhan N. Mahmudov

Publication date: 10 October 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2021182

zbMATH Keywords

optimal controlsecond-order necessary conditionfractional derivativerepresentation formulaPontryagin maximum principle

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Fractional ordinary differential equations (34A08) Calculus of variations and optimal control; optimization (49-XX)

Related Items (4)

Some necessary optimality conditions for systems with fractional Caputo derivatives ⋮ Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives ⋮ Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model ⋮ Stochastic maximum principle for discrete time mean‐field optimal control problems

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