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时滞状态反馈Lienard系统的原点稳定性分析
Analysis on the Stability of the Origin in Lienard Oscillator with Delayed State Feedbacks
【摘要】 对Lienard振子系统规范型引入时滞反馈,定性地研究时滞反馈对Lienard振子系统原点稳定性的影响,发现时滞可使系统原点的稳定性条件发生变化,并通过构造的解析方法,预测了由时滞导致的系统原点稳定性随着时滞反馈增益和时滞量的变化规律。
【Abstract】 Introducing delayed state feedbacks into the normal form of Lienard system,we investigate effects of delayed feedbacks on origin of Lienard system qualitatively.It is found that the stability of the origin changes with the delay varying.A method is proposed analytically in the paper to predict the stability of the origin with the feedback-gain and the delay varying.
【关键词】 非线性动力学;
时滞反馈系统;
Lienard振子;
【Key words】 nonlinear dynamics; delayed feedback system; Lienard oscillator;
【Key words】 nonlinear dynamics; delayed feedback system; Lienard oscillator;
- 【文献出处】 石河子大学学报(自然科学版) ,Journal of Shihezi University(Natural Science) , 编辑部邮箱 ,2005年03期
- 【分类号】O175.2
- 【被引频次】3
- 【下载频次】83