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应用科学学报 ›› 1985, Vol. 3 ›› Issue (3): 223-232.

• 论文 • 上一篇    下一篇

某些抛物型点控系统(n=2,3)的闭环最优解

姚允龙, 尤云程   

  1. 复旦大学
  • 收稿日期:1983-01-27 出版日期:1985-09-30 发布日期:1985-09-30

CLOSE-LOOP OPTIMAL SOLUTIONS FOR SOME PARABOLIC SYSTEMS WITH POINT WISE CONTROL (n=2,3)

YAO YUNLONG, YOU YUNCHENG   

  1. Fudan University
  • Received:1983-01-27 Online:1985-09-30 Published:1985-09-30

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摘要： 对二维及三维区域的一些抛物型点控系统二次判据最优问题,本文证明了最优控制的闭环综合,其状态反馈算子可由线性豫解方程或Riccati算子积分方程的解刻划.

Abstract: Closed-loop syntheses of optimal control is proved for the quadratic optimal problem of some parabolic systems with pointwise control on two and three dimensional domains. Their state feedback operators can be characterized by solutions of linear resolvent equations or Riccati integral equation.