Optimal control of differential inclusions with endpoint constraints and duality

Mahmudov E.

APPLICABLE ANALYSIS, cilt.102, sa.17, ss.4717-4732, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 102 Sayı: 17
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/00036811.2022.2136073
  • Dergi Adı: APPLICABLE ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.4717-4732
  • Anahtar Kelimeler: Endpoint constraints, Hamiltonian, necessary and sufficient, duality, support function, Euler-Lagrange, 2ND-ORDER, OPTIMIZATION, CONTROLLABILITY, EXISTENCE, DISCRETE
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The article considers a high-order optimal control problem and its dual problems described by high-order differential inclusions. In this regard, the established Euler-Lagrange type inclusion, containing the Euler-Poisson equation of the calculus of variations, is a sufficient optimality condition for a differential inclusion of a higher order. It is shown that the adjoint inclusion for the first-order differential inclusions, defined in terms of a locally adjoint mapping, coincides with the classical Euler-Lagrange inclusion. Then the duality theorems are proved.