DOAJ Open Access 2023

An optimal control problem for the systems with integral boundary conditions

M.J. Mardanov Y.A. Sharifov

Abstrak

In this paper, we consider an optimal control problem with a «pure», integral boundary condition. The Green’s function is constructed. Using contracting Banach mappings, a sufficient condition for the existence and uniqueness of a solution to one class of integral boundary value problems for fixed admissible controls is established. Using the functional increment method, the Pontryagin‘s maximum principle is proved. The first and second variations of the functional are calculated. Further, various necessary conditions for optimality of the second order are obtained by using variations of controls.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

M.J. Mardanov

Y.A. Sharifov

Format Sitasi

APA MLA BibTeX

Mardanov, M., Sharifov, Y. (2023). An optimal control problem for the systems with integral boundary conditions. https://doi.org/10.31489/2023m1/110-123

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023m1/110-123
Akses: Open Access ✓