西南石油大学学报(自然科学版) ›› 1987, Vol. 9 ›› Issue (3): 62-71.DOI: 10.3863/j.issn.1000-2634.1987.03.010

• 基础学科 • 上一篇    下一篇

点观测分布参数系统的一个辨识问题

彭良译 刘康生
  

  1. (基础学科部)
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1987-08-20 发布日期:1987-08-20
  • 通讯作者: 彭良译

AN IDENTIFICATION PROBLEM OF THE DISTRIBUTED PARAMETER SYSTEM WITH POINT OBSERVATION

Peng Liang-yi Liu Kang-sheng   

  • Received:1900-01-01 Revised:1900-01-01 Online:1987-08-20 Published:1987-08-20
  • Contact: Peng Liang-yi

摘要: 本文讨论了一根具端点粘滞阻尼的振动弦时初始袄态的可辨识性,其中观测为该点的速度。本文使用抽象半群的处理方法,证明了该系统是谱系统并且可辨识性完全由观测时间长度决定。另外,在对初值的一定假设下,我们获得了这种初边值问题的古典解。

Abstract: This paper discusses identifiability of the initial state of one vibrating
string with viscous damping at end point,where the velocity at this po-
int is observed.An abstract semigroup approach is used here .It has been
proved that the system is a spectral system,and the identifiability depends
completely on the measurement of the observation time interval
In addition,the classical solution to the initial-boundary value problem is
obtained under certain assumption of the initial value.