刘东毅
- 教师拼音名称：Liu Dongyi
- 性别：男
- 职称：副教授
- 所属院系：数学学院
Riesz Basis and Stability Analysis of the Feedback Controlled Networks of 1-D Wave equations
点击次数:
- 发表刊物:WSEAS TRANSACTIONS on MATHEMATICS
- 关键字:wave equation, partial differential network, geometrically continuous type network, Riesz basis
- 摘要:In this paper, using graph theory and functional analysis approach, we study the Riesz basis property and the stabilization of general networks of 1-D wave equations. Firstly, we derive the vector form of the model under
consideration and then discuss the controllers design. We prove that the controlled network is a Riesz system under
certain conditions and hence the spectrum determined growth assumption holds. Further we give some necessary
and sufficient conditions for the asymptotic stability and the non-stability of the controlled network by spectral
conditions. Finally, ... - 合写作者:D. Liu, G. Xu
- 第一作者:Dongyi Liu
- 论文类型:Unit Twenty Basic Research
- 通讯作者:Dongyi
- 卷号:11
- 期号:5
- 页面范围:434-455
- 是否译文:否