Optimal control problem for parabolic variational inequalities

被引：1

作者：

Wang, GS ^{[1
]}

机构：

[1] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 04期

关键词：

maximum principle; optimal control problems; finite codimension; state constraint; approximate controllability;

D O I：

10.1016/S0252-9602(17)30440-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the optimal control problems of systems governed by a parabolic variational inequality coupled with a semilinear parabolic differential equations. The maximum principle and some kind of approximate controllability are studied.

引用

页码：509 / 525

页数：17

共 9 条

[1] Optimal control of the obstacle for an elliptic variational inequality [J].

Adams, DR ;

Lenhart, SM ;

Yong, J .

APPLIED MATHEMATICS AND OPTIMIZATION, 1998, 38 (02) :121-140

[2]

Barbu V., 1993, ANAL CONTROL NONLINE

[3]

Barbu V., 1984, PITMAN RES NOTES MAT

[4]

Chen WY, 2000, J POLYM SCI POL PHYS, V38, P138, DOI 10.1002/(SICI)1099-0488(20000101)38:1<138::AID-POLB17>3.0.CO

[5]

2-Y

[6]

DENG Y, 1998, PANAMERICAN MATH J, V8, P67

[7]

Li X, 1995, OPTIMAL CONTROL THEO

[8] NECESSARY CONDITIONS FOR OPTIMAL-CONTROL OF DISTRIBUTED PARAMETER-SYSTEMS [J].

LI, XJ ;

YONG, JM .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (04) :895-908

[9] Maximum principle for optimal control of some parabolic systems with two point boundary conditions [J].

Wang, GS ;

Chen, SR .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1999, 20 (1-2) :163-174

← 1 →