Optimal control of first-order partial differential inclusions in bounded region


Mahmudov E.

INTERNATIONAL JOURNAL OF CONTROL, cilt.95, sa.7, ss.1933-1943, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 95 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/00207179.2021.1886328
  • Dergi Adı: INTERNATIONAL JOURNAL OF CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, zbMATH
  • Sayfa Sayıları: ss.1933-1943
  • Anahtar Kelimeler: 35Fxx, 49K20, 49M05, 49M25, Approximate, discrete and partial differential inclusions, Euler-Lagrange, first order, necessary and sufficient, polyhedral
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

The paper is devoted to the Lagrange problem in the bounded region for first-order partial differential inclusions (PDIs). For this, using discretisation method and locally adjoint mappings (LAMs), in the form of Euler-Lagrange type inclusions and conjugate boundary conditions, sufficient optimality conditions are obtained. The transition to a continuous problem with PDIs is possible using a specially proved equivalence theorem. To demonstrate this approach, some semilinear problems and polyhedral optimisation with first-order partial differential inclusions are considered. Furthermore, the numerical results also are provided.