一类具有时滞磁性轴承系统的稳定性分析  

Stability analysis in a magnetic bearing system with time delays

作　　者：王洪滨[1] 蒋卫华[1] 刘家琦[1] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《哈尔滨工业大学学报》2005年第9期1270-1272,共3页Journal of Harbin Institute of Technology

摘　　要：考虑一种具有时间延迟的磁性轴承系统,由分析有关的特征方程的根的分布,来研究模型的线性稳定性.讨论了随着参数的不同,系统稳定性和周期解的存在情况,得到了当延迟通过一系列临界值时,Hopf 分支出现的结果.A kind of magnetic bearing system with time vestigated by analyzing the distribution of the roots of delay is considered. Linear stability of the model is inthe associated characteristic equation the exuhance of stability and periodic solutions of system with the different parameter is discussed by the analysis results, found that the Hopf bifurcation occurs when the delay passes through a sequence of critical Values.

关 键 词：磁性轴承 时滞 稳定性 HOPF分支 

分 类 号：O175[理学—数学]