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THE EXISTENCE OF OPTIMAL SETS FOR LINEAR VARIATIONAL EQUATIONS AND INEQUALITIES
- Authors: Zamuraev V.G1
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Affiliations:
- Belarusian-Russian University
- Issue: Vol 60, No 6 (2024)
- Pages: 786-797
- Section: CONTROL THEORY
- URL: https://rjmseer.com/0374-0641/article/view/649514
- DOI: https://doi.org/10.31857/S0374064124060055
- EDN: https://elibrary.ru/KWFSVZ
- ID: 649514
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Abstract
This paper considers an optimal control problem in which the controlled process is described by a linear functional equation in a Hilbert space, and the control action is a change of space. Sufficient conditions for the existence of a solution are obtained. The results are generalized to the case when the controlled process is described by a linear variational inequality.
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