Optimal Control of Elliptic Type Polyhedral Inclusions

Mahmudov E., Mastaliyeva D. I.

5th International Conference on Problems of Cybernetics and Informatics, PCI 2023, Baku, Azerbaijan, 28 - 30 August 2023, (Full Text) identifier

  • Nəşrin Növü: Conference Paper / Full Text
  • Doi nömrəsi: 10.1109/pci60110.2023.10325954
  • Çap olunduğu şəhər: Baku
  • Ölkə: Azerbaijan
  • Açar sözlər: approximate, elliptic differential inclusions, Euler-Lagrange, necessary and sufficient, polyhedral
  • Açıq Arxiv Kolleksiyası: Konfrans Materialı
  • Adres: Bəli

Qısa məlumat

The article considers an optimal control problem described by partial differential inclusions. At the same time, the problem with a polyhedral discrete inclusion is studied in detail. Using the Farkas theorem, locally adjoint mappings are calculated and necessary and sufficient conditions of optimality for polyhedral elliptic discrete inclusions are proved. After that, with the help of the polyhedral elliptic discretization method for the discrete-approximate problem, necessary and sufficient optimality conditions are formulated in the Euler-Lagrange form of the adjoint polyhedral inclusion. In addition, linear discrete-approximate and continuous optimal control problems of elliptic type are also considered. Using the polyhedral nature of the problem, optimality conditions for a polyhedral differential inclusion (DFI) are proved. An example is given to demonstrate the proposed approach.