Necessary optimality conditions for fractional-order difference equations with delay
The paper studies a terminal discrete optimal control problem with fractional-order delay. Using one of the variants of the increment method, the necessary conditions for first-order optimality are proved in the form of an analogue of the discrete maximum principle, a linearized maximum condition, and the Euler equation. The author declares no conflicts of interests.
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Keywords
fractional-order difference equations with delay, increment formula, discrete maximum principle, optimal control, necessary conditions for optimality, an analogue of the linearized maximum condition, an analogue of the Euler equationAuthors
| Name | Organization | |
| Aliyeva Saadat T. | Baku State University; Institute of Control Systems, Science and Education of Azerbaijan; Azerbaijan State University of Economics; Azerbaijan University | saadat.t.aliyeva@au.edu.az |
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Necessary optimality conditions for fractional-order difference equations with delay | Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitelnaja tehnika i informatika – Tomsk State University Journal of Control and Computer Science. 2025. № 73. DOI: 10.17223/19988605/73/1
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