Optimal Control of Initial-Boundary Value Problems for Hyperbolic-Type Polyhedral Discrete and Differential Inclusions
Year: 2026
Type: article
Abstract: This paper is devoted to the optimization of the discrete and hyperbolic differential inclusions for polyhedral control problems with initial-boundary conditions. We formulate necessary and sufficient optimality conditions in the form of an Euler-Lagrange inclusion and transversality condition for the stated discrete problem. Then, to obtain optimality conditions for a discrete approximation problem, we approximate the discrete problem using the difference approximations of partial derivatives and grid functions on a uniform grid. The idea of that discretization method is to combine the discrete problem with the differential problem. Thus, the derivation of sufficient optimality conditions for the continuous problem is implemented by passing formally to the limit as the discrete steps tend to zero in the discrete-approximation problem. Finally, we conduct a numerical example to illustrate the efficiency of our results.
Source: Journal of convex analysis
DOI: 10.68381/jca33006
Authors: Sevilay Demir Sağlam, Elimhan N. Mahmudov
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7214381113