FUNCTIONAL AND NUMERICAL-SOLUTION OF A CONTROL PROBLEM ORIGINATING FROM HEAT-TRANSFER

被引：15

作者：

BURGER, J ^{[1
]}

POGU, M ^{[1
]}

机构：

[1] ECOLE NATL SUPER MECAN,MATH SERV,NANTES,FRANCE

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1991年 / 68卷 / 01期

关键词：

NONLINEAR PARABOLIC EQUATIONS; FUNCTIONAL ANALYSIS; EXISTENCE; UNIQUENESS; CONTROL PROBLEMS; NEWTONS METHOD;

D O I：

10.1007/BF00939935

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The solution of a nonlinear parabolic equation is studied from both the functional and the numerical points of view. Existence, uniqueness, and stability results are given. A boundary-control problem is then presented. Expressions of the gradient and the Hessian of the cost function are given with some details, and the Newton method is compared with a gradient method and the Fletcher-Reeves method. Numerical results are given. The paper concludes with a discussion of the advantages of the Newton method as applied to a control problem.

引用

页码：49 / 73

页数：25

共 50 条

[21] NUMERICAL-SOLUTION OF A VARIATIONAL PROBLEM IN AUTOMATIC-CONTROL
CAHLON, B
JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1978, 22 (04): : 479 - 495
[22] NUMERICAL-SOLUTION OF AN OPTIMAL-CONTROL PROBLEM WITH HYSTERESIS
BROKATE, M
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1987, 95 : 68 - 78
[23] THE NUMERICAL-SOLUTION OF THE LINEAR REGULATOR PROBLEM WITH POSITIVE CONTROL
SISSAOUI, H
COLLINS, WD
HARLEY, PJ
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 1988, 5 (03) : 191 - 201
[24] NUMERICAL-SOLUTION OF A RELAXED CONTROL PROBLEM BY THE EPSILON METHOD
SHMUELI, K
STEINBERG, AM
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1981, 35 (01) : 45 - 55
[25] NUMERICAL-SOLUTION OF OPTIMAL-CONTROL PROBLEM WITH DISCONTINUITY
ICHIKAWA, K
BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1976, 19 (131): : 492 - 496
[26] NUMERICAL-SOLUTION OF LEVELING PROBLEM
DEGANI, D
GUTFINGER, C
COMPUTERS & FLUIDS, 1976, 4 (3-4) : 149 - 155
[27] NUMERICAL-SOLUTION OF STAMP PROBLEM
BOGOMOLNII, A
ESKIN, G
ZUCHOWIZKII, S
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 15 (02) : 149 - 159
[28] ON NUMERICAL-SOLUTION OF A NONLOCAL PROBLEM
HERCEG, D
PETROVIC, N
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1990, 70 (06): : T649 - T652
[29] NUMERICAL-SOLUTION OF A CAVITATION PROBLEM
GERHOLD, D
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1979, 30 (05): : 825 - 830
[30] ON THE NUMERICAL-SOLUTION OF THE GOURSAT PROBLEM
WAZWAZ, AM
APPLIED MATHEMATICS AND COMPUTATION, 1993, 59 (01) : 89 - 95

← 1 2 3 4 5 →