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一类退化椭圆型分布参数系统的最优控制条件

Condition of optimal control for a class distributed parameter system ofdegenerate elliptic equation
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摘要 研究了一类由退化椭圆方程所支配的分布参数系统的最优控制问题.由于该椭圆方程已被证明了弱解的存在唯一性,因此只考虑退化点集为单点集的情形.通过正则化方法和变分原理,得到了该分布参数系统最优控制所满足的必要条件. Optimal control problems for distributed parameter system governed by a class of degenerate elliptic equation are considered.Since the existence and uniqueness of the weak solution of the elliptic equation has been proved,only the case that the degenerate point set is a single point set is considered.Through the regularization method and variational principle,the necessary conditions for the optimal control of the distributed parameter system are obtained.
作者 王晓燕 王伟华 田巍 张敬 WANG Xiaoyan;WANG Weihua;TIAN Wei;ZHANG Jing(School of Science,Qiqihar University,Qiqihar 161006,China)
机构地区 齐齐哈尔大学理学院
出处 《高师理科学刊》 2021年第4期1-3,共3页 Journal of Science of Teachers＇College and University
基金 黑龙江省省属高等学校基本科研业务费科研项目(135309475)。
关键词 退化椭圆方程 分布参数系统 正则化方法 最优控制 degenerate elliptic equation distributed parameter system regularization method optimal control
分类号 O232 [理学—运筹学与控制论]
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高师理科学刊
2021年 第4期

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