Exponential stability and spectral analysis of the pendulum system under position and delayed position feedbacks
Exponential stability and spectral analysis of the pendulum system under position and delayed position feedbacks
复制标题
位置和延迟位置反馈下摆系统的指数稳定性和谱分析
DOI：
10.1080/00207179.2011.582886
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发表时间：
2011-05
影响因子：
2.1
通讯作者：
Zhao, Dong-Xia
中科院分区：
文献类型：
--
作者：
Wang, Jun-Min;Lv, Xiao-Wen;Zhao, Dong-Xia
This article addresses the exponential stability and spectral analysis of the linearised pendulum system with both position and delayed position (PDP for short) feedbacks. The semigroup approach is adopted in investigation. The asymptotic spectral expression of the system is presented. It is shown that the spectrum of the system is located in the left half complex plane and its real part goes to −∞ at the high frequency end when the feedback gains and the delay satisfy some additional conditions. Therefore, exponential stability of the system follows from the spectrum determined growth property. Finally, some numerical simulations of a planar pendulum are presented.
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DOI：
10.1098/rspa.1998.0282
发表时间：
1998-11
期刊：
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
--
作者：
M. Clifford;S. Bishop
通讯作者：
M. Clifford;S. Bishop
DOI：
10.1098/rspa.2001.0841
发表时间：
2001-12
期刊：
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子：
--
作者：
M. Bartuccelli;Guido Gentile;K. V. Georgiou
通讯作者：
M. Bartuccelli;Guido Gentile;K. V. Georgiou
影响因子：
2
作者：
T. Hagen
通讯作者：
T. Hagen
影响因子：
4.7
作者：
Haiyan Hu
通讯作者：
Haiyan Hu
影响因子：
3.7
作者：
F. Atay
通讯作者：
F. Atay