OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

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Yusubov S. S., Mahmudov E.

Journal of Industrial and Management Optimization, vol.19, no.1, pp.246-264, 2023 (SCI-Expanded, Scopus)

• Nəşrin Növü: Article / Article
• Cild: 19 Say: 1
• Nəşr tarixi: 2023
• Doi nömrəsi: 10.3934/jimo.2021182
• jurnalın adı: Journal of Industrial and Management Optimization
• Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
• Səhifə sayı: pp.246-264
• Açar sözlər: Fractional derivative, Optimal control, Pontryagin maximum principle, Representation formula, Second-order necessary condition
• Açıq Arxiv Kolleksiyası: Məqalə
• Adres: Bəli

Qısa məlumat

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. The problem is investigated in the case when the Pontryagin maximum principle degenerates, that is, it is satisfied trivially. Then the second order optimality conditions are derived for the considered problem.