Optimal control for non-linear integrodifferential functional equations

被引：2

作者：

Jeong, JM ^{[1
]}

Park, JY

机构：

[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea

[2] Pusan Natl Univ, Dept Math, Pusan 609739, South Korea

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2003年 / 24卷 / 01期

关键词：

non-linear differential equations; regularity; optimal control; compact embedding; admissible pairs;

D O I：

10.1002/oca.719

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An optimal control problem for a non-linear control system with a hemicontinuous and coercive operator is studied. The existence, uniqueness, and a variation of solutions of the system are also given. An example is presented to illustrate the theory. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：45 / 56

页数：12

共 9 条

[1] EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR EVOLUTION-EQUATIONS WITH NONMONOTONE PERTURBATIONS [J].

AHMED, NU ;

XIANG, X .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (01) :81-89

[2] Nonlinear uncertain systems and necessary conditions of optimality [J].

Ahmed, NU ;

Xiang, X .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (05) :1755-1772

[3]

AHMED NU, 1994, LECT NOTES PURE APPL, V152

[4]

Aizicovici S, 1993, JAPAN J IND APPL MAT, V10, P307, DOI DOI 10.1007/BF03167579

[5]

AUBIN JP, 1963, CR HEBD ACAD SCI, V256, P5042

[6]

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

[7] NONLINEAR EVOLUTION-EQUATIONS WITH NONMONOTONIC PERTURBATIONS [J].

HIRANO, N .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (06) :599-609

[8] EXISTENCE OF OPTIMAL CONTROLS FOR NONLINEAR-SYSTEMS IN BANACH-SPACES [J].

PAPAGEORGIOU, NS .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (03) :451-459

[9] OPTIMAL-CONTROL OF NONLINEAR EVOLUTION-EQUATIONS WITH NONMONOTONE NONLINEARITIES [J].

PAPAGEORGIOU, NS .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1993, 77 (03) :643-660

← 1 →