Optimization of the Hyperbolic Type Differential Inclusions Described by Polyhedral Set Valued Mappings


ÇİÇEK G., Mahmudov E.

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

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/pci60110.2023.10326021
  • City: Baku
  • Country: Azerbaijan
  • Keywords: discrete-approximation, hyperbolic differential inclusions, Laplace operator, optimality conditions, plyhedral
  • Istanbul Technical University Affiliated: Yes

Abstract

In this paper, sufficient conditions for the optimal problem regarding polyhedral hyperbolic differentials are obtained. Necessary and sufficient conditions for the polyhedral hyperbolic discrete problem are derived using the polyhedral nature of the problem. By the discretization method of hyperbolic DFIs, the optimality conditions for the polyhedral discrete approximate problem are formulated in the form of the Mahmudov adjoint inclusions. We establish sufficient optimality conditions for the polyhedral DFIs of hyperbolic type. To the best of our knowledge, these results are new in the literature and use the discretization method when creating the optimality conditions for polyhedral hyperbolic DFIs. This method differs from formerly used methods because of its polyhedral structure.