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Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives

Optimal Control of Variational Inequalities with Delays in the Highest Order Spatial Derivatives
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摘要 In this paper, an optimal control problem for parabolic variational inequalities with delays in the highest order spatial derivatives is investigated. The well-posedness of such kinds of variational inequalities is established. The existence of optimal controls under a Cesari-type condition is proved, and the necessary conditions of Pontryagin type for optimal controls is derived. In this paper, an optimal control problem for parabolic variational inequalities with delays in the highest order spatial derivatives is investigated. The well-posedness of such kinds of variational inequalities is established. The existence of optimal controls under a Cesari-type condition is proved, and the necessary conditions of Pontryagin type for optimal controls is derived.
作者 Shang Wei ZHU
机构地区 Institute of Mathematics Department of Applied Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第2期607-624,共18页 数学学报（英文版）
基金 supported by the Chinese NSF Under grant 101210310,the NSF under grant 10171059,the NSF Under grant 10171030 the National Distinguished Youth Science Foundation of China under grant 10325101 the Chinese Education Ministry Science Foundation Under g
关键词 Variational inequalities Time-delay operator Optimal control. Maximum Drinciple Variational inequalities, Time-delay operator, Optimal control. Maximum Drinciple
分类号 O232 [理学—运筹学与控制论] O178 [理学—基础数学]
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参考文献18

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Acta Mathematica Sinica,English Series
2006年 第2期

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