Optimal control problems for some nonlocal differential equations

M. Drakhlin; E. Litsyn; E. Stepanov

doi:10.1016/S0362-546X(01)00509-0

Optimal control problems for some nonlocal differential equations

M. Drakhlin, E. Litsyn, E. Stepanov

Research output: Contribution to journal › Article › peer-review

Abstract

The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand. It was found that the proposed technique could be efficiently used for the treatment of T-convergence problems for optimal control settings.

Original language	English
Pages (from-to)	3897-3904
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	6
DOIs	https://doi.org/10.1016/S0362-546X(01)00509-0
State	Published - 1 Aug 2001
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00509-0

Cite this

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title = "Optimal control problems for some nonlocal differential equations",

abstract = "The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand. It was found that the proposed technique could be efficiently used for the treatment of T-convergence problems for optimal control settings.",

author = "M. Drakhlin and E. Litsyn and E. Stepanov",

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AU - Litsyn, E.

AU - Stepanov, E.

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N2 - The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand. It was found that the proposed technique could be efficiently used for the treatment of T-convergence problems for optimal control settings.

AB - The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand. It was found that the proposed technique could be efficiently used for the treatment of T-convergence problems for optimal control settings.

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U2 - 10.1016/S0362-546X(01)00509-0

DO - 10.1016/S0362-546X(01)00509-0

M3 - Article

AN - SCOPUS:0035424488

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 6

ER -

Optimal control problems for some nonlocal differential equations

Abstract

ASJC Scopus subject areas

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