[1]贾军国,郭同德..基于波方程边界反馈控制系统稳定性的谱分析[J].郑州大学学报(工学版),2005,26(03):83-85.[doi:10.3969/j.issn.1671-6833.2005.03.022]
　Jia Junguo,Guo Tongde.Spectral analysis of stability of control system based on wave equation boundary feedback[J].Journal of Zhengzhou University (Engineering Science),2005,26(03):83-85.[doi:10.3969/j.issn.1671-6833.2005.03.022]
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基于波方程边界反馈控制系统稳定性的谱分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
26卷
期数:
2005年03期
页码:
83-85
栏目:
出版日期:
1900-01-01

文章信息/Info

Title:
Spectral analysis of stability of control system based on wave equation boundary feedback
作者:
贾军国; 郭同德.
西安交通大学理学院,陕西,西安,710000;郑州大学数学系,河南,郑州,450052, 郑州大学环境与水利学院,河南,郑州,450002
Author(s):
Jia Junguo; Guo Tongde
关键词:
谱分布;  稳定性;  波方程;  预解紧;  C0半群
Keywords:
DOI:
10.3969/j.issn.1671-6833.2005.03.022
文献标志码:
A
摘要:
对具反馈边界控制问题中的一维带黏性阻力和恢复力的波方程系统,在函数空间中将其化为抽象Cauchy问题,其系统算子具预解紧且是某C0压缩半群的生成元,得到了系统算子的谱分布特征,包括其谱点实部的上确界小于零以及谱点位于某平行于虚轴的有限带域中,为进一步讨论该系统的稳定性、可控性及Riesz基性质奠定了基础.
Abstract:
For the wave equation system with one-dimensional viscous resistance and restoring force in the feedback boundary control problem, it is transformed into an abstract Cauchy problem in the function space, and the system operator is pre-compacted and is the generator of a certain C0 compression semigroup, and the spectral distribution characteristics of the system operator are obtained, including that the supremum of the real part of the spectral point is less than zero and the spectral point is located in a finite band domain parallel to the imaginary axis, which lays a foundation for further discussion of the stability, controllability and Riesz basis properties of the system.

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更新日期/Last Update: 1900-01-01