A class of multiobjective control problems

被引：18

作者：

de Oliveira, V. A. ^{[1
]}

Silva, G. N. ^{[2
]}

Rojas-Medar, M. A. ^{[3
]}

机构：

[1] Univ Fed Uberlandia, Fac Ciencias Integradas Pontal, BR-38302000 Ituiutaba, MG, Brazil

[2] Univ Estadual Paulista UNESP, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose Do Rio Pretro, Brazil

[3] Univ Bio Bio, Fac Ciencias, Dept Ciencias Basicas, Chillan, Chile

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2009年 / 30卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

multiple objective programming; control; optimality conditions; generalized invexity;

D O I：

10.1002/oca.863

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We introduce the class of MP-pseudoinvex multiobjective optimal control problems. We show that the concept of MP-pseudoinvexity is a sufficient condition of optimality and, further, that problems such that every control process satisfying Pontryagin's maximum principle is an optimal process are necessarily MP-pseudoinvex problems. Moreover, a sub-class of the MP-pseudoinvex problems, which we call MP-invex multiobjective optimal control problems, is defined. We prove that the set of optimal solutions of MP-invex multiobjective problems coincides with the set of optimal solutions of a related scalar problem. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：77 / 86

页数：10

共 11 条

[1]

CLARKE FH, 1990, SIAM CLASSICS APPL M, V5

[2]

DEOLIVEIRA VA, UNPUB

[3]

GRAMATOVICI S, 2005, MATH COMPUTER SCI SE, V32, P150

[4] OPTIMALITY CONDITIONS AND DUALITY FOR MULTIOBJECTIVE CONTROL PROBLEMS [J].

Gulati, T. R. ;

Husain, I. ;

Ahmed, A. .

JOURNAL OF APPLIED ANALYSIS, 2005, 11 (02) :225-245

[5] ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].

HANSON, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550

[6] ON NECESSARY OPTIMALITY CONDITIONS IN VECTOR OPTIMIZATION PROBLEMS [J].

KHANH, PQ ;

NUONG, TH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 58 (01) :63-81

[7]

KIM DS, 2003, J NONLINEAR CONVEX A, V4, P87

[8] THE ESSENCE OF INVEXITY [J].

MARTIN, DH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (01) :65-76

[9]

OSUNAGOMEZ R, 1998, J OPTIMIZATION THEOR, V3, P651

[10]

PATEL RB, 2002, J INDIAN MATH SOC, V69, P129

← 1 2 →