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

被引:0
作者
Jin-Mun Jeong
Eun-Young Ju
Su-Jin Cheon
机构
[1] Pukyong National University,Department of Applied Mathematics
来源
Journal of Optimization Theory and Applications | 2011年 / 151卷
关键词
Evolution equation; Optimal control; Optimal condition; Cost function; Admissible control;
D O I
暂无
中图分类号
学科分类号
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
收藏
页码:573 / 588
页数:15
相关论文
共 15 条
[1]  
Di Blasio G.(1984)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivative J. Math. Anal. Appl. 102 38-57
[2]  
Kunisch K.(1993)Retarded functional differential equations with Funkc. Ekvacioj 36 71-93
[3]  
Sinestrari E.(1999)-valued controller J. Dyn. Control Syst. 5 329-346
[4]  
Jeong J.M.(1971)Approximate controllability for semilinear retarded functional differential equations J. Comput. Syst. Sci. 5 163-191
[5]  
Jeong J.M.(1986)A computational approach to the maximum principle J. Math. Anal. Appl. 120 169-210
[6]  
Kwun Y.C.(1987)Optimal control of linear retarded systems in Banach spaces J. Optim. Theory Appl. 53 1581-1600
[7]  
Park J.Y.(1992)Existence of optimal controls for nonlinear systems in Banach spaces J. Math. Anal. Appl. 164 83-103
[8]  
Balakrishnan A.V.(2003)On the optimal control of strongly nonlinear evolution equations Optim. Control Appl. Methods 24 45-56
[9]  
Nakagiri S.(2008)Optimal control for non-linear integrodifferntial functional equations Nonlinear Anal. 68 536-546
[10]  
Papageorgiou N.S.(1963)Approximate controllability of evolution systems with nonlocal conditions C. R. Acad. Sci. 256 5042-5044