Optimal control problems of phase relaxation models

被引：8

作者：

Barbu, V ^{[1
]}

Bernardi, ML

Colli, P

Gilardi, G

机构：

[1] Univ Al I Cuza, Dept Math, Iasi, Romania

[2] Univ Pavia, Dept Math F, I-27100 Pavia, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 109卷 / 03期

关键词：

optimal control problems; relaxed Stefan problem; memory effects; existence of optimal control; asymptotic analysis in terms of relaxation coefficient; necessary conditions of optimality;

D O I：

10.1023/A:1017563604922

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：

This work is concerned with optimal control problems with convex cost criterion governed by the relaxed Stefan problem with or without memory. The existence of an optimal control is proved and necessary conditions for a given function to be an optimal control are found. Moreover, an asymptotic analysis is performed as the time relaxation parameter tends to zero.

引用

页码：557 / 585

页数：29

共 23 条

[1]

Ambrosetti A., 1995, CAMBRIDGE STUDIES AD, V34

[2]

[Anonymous], 2000, DIFFERENTIAL INTEGRA

[3]

[Anonymous], ADV DIFFERENTIAL EQU

[4]

Attouch H., 1984, APPL MATH SERIES

[5]

Barbu V., 1986, MATH ITS APPL, V10

[6]

Barbu V., 1976, Nonlinear Semigroups and Differential Equations in Banach Spaces

[7]

BARBU V, 1982, AI I CUZA IASI IM, V28, P35

[8] Nonsmooth kernels in a phase relaxation problem with memory [J].

Bonfanti, G ;

Colli, P ;

Grasselli, L ;

Luterotti, F .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (04) :455-465

[9]

Chandrasekharaiah D. S., 1986, Appl. Mech. Rev., P355, DOI DOI 10.1115/1.3143705

[10]

COLEMAN BD, 1971, INT CTR MATH SCI COU, V73

← 1 2 3 →