Existence of optimal controls for distributed systems involving dynamic boundary conditions

S. Kerbal; N. U. Ahmed

Existence of optimal controls for distributed systems involving dynamic boundary conditions

S. Kerbal^*, N. U. Ahmed

^*Corresponding author for this work

Mathematics

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

Abstract

In this paper we use the calculus of variation, a classical technique to prove the existence of an optimal control for Lagrange type control problem subject to a semilinear systems governed by B-evolutions, that is for systems involving dynamics on the boundary. For motivation we present an example of heat transfer problem arising in the nuclear reactor.

Original language	English
Pages (from-to)	55-67
Number of pages	13
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	14
Issue number	1
Publication status	Published - Feb 2007

Keywords

B-evolution systems
Dynamic boundary control problem
Generating and closed pair of operators
Lagrange problem
Optimal control
Semi-linear systems
Semigroup

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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abstract = "In this paper we use the calculus of variation, a classical technique to prove the existence of an optimal control for Lagrange type control problem subject to a semilinear systems governed by B-evolutions, that is for systems involving dynamics on the boundary. For motivation we present an example of heat transfer problem arising in the nuclear reactor.",

keywords = "B-evolution systems, Dynamic boundary control problem, Generating and closed pair of operators, Lagrange problem, Optimal control, Semi-linear systems, Semigroup",

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AB - In this paper we use the calculus of variation, a classical technique to prove the existence of an optimal control for Lagrange type control problem subject to a semilinear systems governed by B-evolutions, that is for systems involving dynamics on the boundary. For motivation we present an example of heat transfer problem arising in the nuclear reactor.

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KW - Dynamic boundary control problem

KW - Generating and closed pair of operators

KW - Lagrange problem

KW - Optimal control

KW - Semi-linear systems

KW - Semigroup

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ER -

Existence of optimal controls for distributed systems involving dynamic boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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