Pareto optimal control for mixed Neumann infinite-order parabolic system with state-control constraints

被引：1

作者：

Bahaa, G. M. ^{[1
,2
]}

El-Marouf, S. A. A. ^{[1
,3
]}

Embaby, O. A. ^{[1
,4
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, PO 30002, Al Madinah Al Munawwarah, Saudi Arabia

[2] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf, Egypt

[3] Minoufiya Univ, Fac Sci, Dept Math, Shibin Al Kawm, Egypt

[4] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2015年 / 9卷 / 02期

关键词：

Pareto optimal control problems; Parabolic operators with infinite order; Neumann Problem; Dubovitskii Milyutin theorem; Conical approximations; Optimality conditions;

D O I：

10.1016/j.jtusci.2014.09.002

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A distributed Pareto optimal control problem for an infinite order parabolic system is considered. The performance index has a vector form with two components in integral form. Constraints on controls and on states are imposed. To obtain optimality conditions for the Neumann problem, the generalization of the Dubovitskii-Milyutin theorem was applied. (C) 2014 The Authors. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/3.0/).

引用

页码：264 / 273

页数：10

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