An Analogue of the Euler Equation and Necessary Conditions for Second-order Optimality in an Optimal Control Problem Described by Nonlinear Volterra Integral Equation
- Authors: Abdullayev A.A.1,2
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Affiliations:
- Baku State University
- Institute of control system of the National academy of sciences of Azerbaijan
- Issue: No 1 (68) (2025)
- Pages: 6-17
- Section: Mathematics
- URL: https://journals.rcsi.science/1993-0550/article/view/326426
- DOI: https://doi.org/10.17072/1993-0550-2025-1-6-17
- EDN: https://elibrary.ru/bubykz
- ID: 326426
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Abstract
The optimal control problem of the minimum of a multipoint functional defined on solutions of a nonlinear integral equation is considered, and implicit necessary conditions for optimality of the first and second orders are obtained. Also using them, an analogue of the Euler equation was established and constructively verifiable necessary conditions for second-order optimality were obtained. Singular optimality controls in the classical sense have been studied.
About the authors
A. A. Abdullayev
Baku State University; Institute of control system of the National academy of sciences of Azerbaijan
Email: agshin-abdullayev@mail.ru; aqshinabiloqlu@gmail.com
Baku, Azerbaijan
References
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