| 稳定性切换点法在时滞系统的鲁棒稳定性中的应用 |
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| 引用本文： | 狄成宽.稳定性切换点法在时滞系统的鲁棒稳定性中的应用[J].动力学与控制学报,2011,9(2):111-116. |
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| 作者姓名： | 狄成宽 |
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| 作者单位： | 南京工程学院应用数学研究所,南京 211167 |
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| 摘 要： | 讨论了一类参数与时滞相关的时滞系统的鲁棒稳定性.在"稳定性切换几何判据法"的基础上提出了"稳定性切换点法",使用该方法可得到相应方程零解稳定的参数变化区域.针对向日葵方程这一实际例子,利用文中所提出的方法并结合Maple软件作图可以容易地得到稳定性区域和不稳定性区域以及两区域的分界线、Hopf分岔点等;进一步通过对时滞...
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| 关 键 词： | 时滞 稳定性切换 切换点 稳定性区域 鲁棒稳定性 |
| 收稿时间： | 2009/12/17 0:00:00 |
| 修稿时间： | 2010/3/20 0:00:00 |
The application of stability switches point method in the robust stability of a class of time-delay system |
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| Di Chengkuan.The application of stability switches point method in the robust stability of a class of time-delay system[J].Journal of Dynamics and Control,2011,9(2):111-116. |
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| Authors: | Di Chengkuan |
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| Affiliation: | Di Chengkuan(Nanjing Institute of Technology Institute of Applied Mathematics,Nanjing 211167,China) |
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| Abstract: | The robust stability for a class of time-delay system with delay dependent parameters was discussed.On the basis of geometric stability switches criteria,a new stabilization criterion stability switches point method was established.Using the new criterion,the region of the parameters which make the equilibrium asymptotically stable can be obtained easily.As an application,the sunflower equation was studied,and the result shows that one can obtain not only the stable region but also the Hopf bifurcation poin... |
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| Keywords: | time-delay switches points stability switches stable region robust stability |
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