Optimal Control Problems for Evolution Equations of Parabolic Type with Nonlinear Perturbations

被引：3

作者：

Jeong, Jin-Mun ^{[1
]}

Ju, Eun-Young ^{[1
]}

Cheon, Su-Jin ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2011年 / 151卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Evolution equation; Optimal control; Optimal condition; Cost function; Admissible control; SYSTEMS;

D O I：

10.1007/s10957-011-9866-7

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：

In this paper, we study the optimal control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under Lipschitz continuity condition of the nonlinear term, we can obtain the optimal conditions and maximal principles for a given equation, which are described by the adjoint state corresponding to the given equation without the rigorous conditions for the nonlinear term.

引用

页码：573 / 588

页数：16

共 16 条

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[2]

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[3]

Balakrishnan A. V., 1971, Journal of Computer and System Sciences, V5, P163, DOI 10.1016/S0022-0000(71)80032-6

[4]

Courant R., 1979, WHAT IS MATH ELEMENT