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- Title
Synthesis of Distributed Optimal Control in the Tracking Problem for the Optimization of Thermal Processes Described by Integro-Differential Equations.
- Authors
Kerimbekov, A.
- Abstract
In this paper, we examine the synthesis problem for a distributed thermal control system in the case where a Fredholm integral operator is involved in the boundary-value problem. We use the method proposed by A. I. Egorov and develop it based on the Bellman scheme. Using the notions of a generalized solution of a boundary-value problem and the Fréchet differential for the Bellman functional, we obtain a partial integro-differential equation. For synthesizing a distributed optimal control, we propose a numerical algorithm.
- Subjects
INTEGRO-differential equations; BOUNDARY value problems; FREDHOLM operators; INTEGRAL operators; ARTIFICIAL satellite tracking
- Publication
Journal of Mathematical Sciences, 2024, Vol 279, Issue 5, p655
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07046-8