OPTIMALITY CONDITIONS OF SINGULAR CONTROLS FOR SYSTEMS WITH CAPUTO FRACTIONAL DERIVATIVES

Yusubov S. S., Mahmudov E.

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, cilt.19, ss.246-264, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/jimo.2021182
  • Dergi Adı: JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.246-264
  • Anahtar Kelimeler: Fractional derivative, optimal control, representation formula, Pon-tryagin maximum principle, second-order necessary condition, DIFFERENTIAL EQUATIONS, DUALITY, ORDER
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equa-tion. 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.