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Optimal Control Over Systems of Functional-Differential Equations With Infinite Delay.
- Source :
-
Ukrainian Mathematical Journal . Jun2023, Vol. 75 Issue 1, p157-173. 17p. - Publication Year :
- 2023
-
Abstract
- We consider the optimal control problem for systems with infinite memory whose models are described by functional-differential equations. We prove the theorem on existence, uniqueness, and continuity of solutions for a system of functional-differential equations in which the delay interval is infinitely large. Sufficient conditions for the existence of optimal controls in the optimal control problems for systems with infinite memory are obtained in terms of the right-hand sides of the equations of motion and the function of performance criterion. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 75
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 169946296
- Full Text :
- https://doi.org/10.1007/s11253-023-02191-w