中国科技论文在线

上传时间

2006年08月07日

【期刊论文】Stability and bifurcation in a harmonic oscillator with delays☆

袁荣， Zhihua Liu， Rong Yuan *

Chaos, Solitons and Fractals 23(2005)551-562，-0001，（）：

-1年11月30日

We consider a harmonic oscillator with delays. Linear stability is investigated by analyzing the associated characteristic transcendental equation. The bifurcation analysis of the equation shows that Hopf bifurcation can occur as the delay s (taken as a parameter) crosses some critical values. The direction and stability of the Hopf bifurcation are considered by using the normal form theory due to Faria and Magalhaes. An example is given to explain the results. Numerical simulations support our results.

27浏览
0点赞
0收藏
0分享
247下载
0

引用

上传时间

2006年08月07日

【期刊论文】Uniform Asymptotic Stability of Hybrid Dynamical Systems With Delay

袁荣， Rong Yuan， Zhujun Jing， Luonan Chen

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 2, FEBRUARY 2003，-0001，（）：

-1年11月30日

摘要

In this present note, we formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via Lyapunov-Razumikhin technique. To demonstrate the developed theory, we conduct stability analyzes for delay sampled-data feedback control systems including a nonlinear continuous-time plant and a linear discrete-time controller.

Hybrid dynamical system， Razumikhin technique， uniform asymptotic stability.，