Controlling linear functional differential equation

Michael Drakhlin; Elena Litsyn

doi:10.1080/00036810108841005

Controlling linear functional differential equation

Michael Drakhlin, Elena Litsyn

Department of Mathematics

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

Abstract

Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem.

Original language	English
Pages (from-to)	477-491
Number of pages	15
Journal	Applicable Analysis
Volume	80
Issue number	3-4
DOIs	https://doi.org/10.1080/00036810108841005
State	Published - 1 Jan 2001

Keywords

34K35
Boundary value problem
Control problem
Functional differential equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810108841005

Cite this

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title = "Controlling linear functional differential equation",

abstract = "Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem.",

keywords = "34K35, Boundary value problem, Control problem, Functional differential equations",

author = "Michael Drakhlin and Elena Litsyn",

year = "2001",

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AU - Litsyn, Elena

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N2 - Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem.

AB - Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem.

KW - 34K35

KW - Boundary value problem

KW - Control problem

KW - Functional differential equations

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U2 - 10.1080/00036810108841005

DO - 10.1080/00036810108841005

M3 - Article

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VL - 80

SP - 477

EP - 491

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3-4

ER -

Controlling linear functional differential equation

Abstract

Keywords

ASJC Scopus subject areas

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