李训经.向量值测度与线性系统最优控制问题的必要条件(英文)[J].数学研究及应用,1984,4(4):51~56
向量值测度与线性系统最优控制问题的必要条件(英文)
Vector-valued Measure and the Necessary Conditions for the Optimal Control Problems of Linear Systems
投稿时间:1982-12-12  
DOI:10.3770/j.issn:1000-341X.1984.04.014
中文关键词:  
英文关键词:optimal control  maximum principle  distributed parameter system  linear system  vector-valued measure.
基金项目:
作者单位
李训经 复旦大学 
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中文摘要:
      
英文摘要:
      The vector-valued measure defined by the well-posed linear boundary value problems is discussed. The maximum principle of the optimal control problem with non-convex constraint is proved by using the vector-valued measure. Especially, the necessary conditions of the optimal control of elliptic systems is derived without the convexity of the control domain and the cost function.
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