引用本文:陈叔平.抛物型边界点控系统的最优控制与闭环综合[J].控制理论与应用,1986,3(2):20~29.[点击复制]
Chen Shuping.OPTIMAL CONTROL AND FEEDBACK SYNTHESIS FOR SYSTEM GOVERNED BY PARABOLIC EQUATION WITH POINTWISE CONTROL ON THE BOUNDARY[J].Control Theory and Technology,1986,3(2):20~29.[点击复制]
抛物型边界点控系统的最优控制与闭环综合
OPTIMAL CONTROL AND FEEDBACK SYNTHESIS FOR SYSTEM GOVERNED BY PARABOLIC EQUATION WITH POINTWISE CONTROL ON THE BOUNDARY
摘要点击 720  全文点击 378  投稿时间:1983-10-24  修订日期:1985-08-20
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DOI编号  
  1986,3(2):20-29
中文关键词  
英文关键词  
基金项目  
作者单位
陈叔平 浙江大学 
中文摘要
      本文讨论一类带有边界点状控制的抛物型系统在二次性能指标下的最优控制问题,证明了最优控制的存在唯一性,建立了状态反馈公式,并给出了求解反馈算子的一种新的途径。
英文摘要
      This Paper is concerned with a linear -quadratic optimal control problem. The state of the system is governed by parabolic equation with pointwise control on the boundary. After establishing the existence and uniqueness of the optimal control as well as the linear state feedback law, we developed a new methed to calculate the feedback operator, which is different from the classical Reccati equation.