OPTIMAL-CONTROL IN COEFFICIENTS OF ELLIPTIC-EQUATIONS WITH STATE CONSTRAINTS

被引：37

作者：

CASAS, E

机构：

[1] Departamento de Matemática Aplicada, E.T.S.I. Caminos, C. y. P., Universidad de Cantabria, Santander

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1992年 / 26卷 / 01期

关键词：

D O I：

10.1007/BF01218394

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with state constrained optimal control problems of elliptic equations, the control being a coefficient of the partial differential equation. Existence of an optimal control is proved and optimality conditions are derived. We perform finite-element approximations of optimal control problems and state some convergence results: we prove convergence of optimal controls and states as well as convergence of Lagrange multipliers.

引用

页码：21 / 37

页数：17

共 18 条

[1] OPTIMALITY CONDITIONS FOR SOME NONQUALIFIED PROBLEMS OF DISTRIBUTED CONTROL [J].

ABERGEL, F ;

TEMAM, R .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (01) :1-12

[2]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[3]

BONNANS JF, 1984, INRIA300 TECHN REP

[4]

BONNANS JF, 1988, NONLINEAR PARTIAL DI, V8, P69

[5] CONTROL OF AN ELLIPTIC PROBLEM WITH POINTWISE STATE CONSTRAINTS [J].

CASAS, E .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (06) :1309-1318

[6] L2 ESTIMATES FOR THE FINITE-ELEMENT METHOD FOR THE DIRICHLET PROBLEM WITH SINGULAR DATA [J].

CASAS, E .

NUMERISCHE MATHEMATIK, 1985, 47 (04) :627-632

[7]

CASAS E, 1990, CONTROL CYBERNET, V19

[8]

Ciarlet P. G., 1973, Computer Methods in Applied Mechanics and Engineering, V2, P17, DOI 10.1016/0045-7825(73)90019-4

[9]

Ciarlet P. G., 2002, FINITE ELEMENT METHO

[10]

Ciarlet PG., 1972, ARCH RATION MECH AN, V46, P177, DOI [DOI 10.1007/BF00252458, 10.1007/BF00252458]

← 1 2 →