点观测分布参数系统的一个辨识问题

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。

AN IDENTIFICATION PROBLEM OF THE DISTRIBUTED PARAMETER SYSTEM WITH POINT OBSERVATION

This paper discusses identifiability of the initial state of one vibratingstring with viscous damping at end point，where the velocity at this po-int is observed.An abstract semigroup approach is used here .It has beenproved that the system is a spectral system，and the identifiability dependscompletely on the measurement of the observation time intervalIn addition，the classical solution to the initial-boundary value problem isobtained under certain assumption of the initial value.