时滞动力系统的稳定性与分岔：从理论走向应用
王在华，胡海岩
摘要:本文综述了近年来时滞动力系统稳定性与分岔方面的研究进展，重点阐述了作者及其团队在稳定性分析、Hopf分岔计算、利用时滞改善系统稳定性等方面的一些理论和方法研究结果，介绍了时滞对颤振主动控制系统、不稳定系统镇定、网络系统的影响等方面的研究．基于研究体会，对进一步的研究提出了若干展望．
关键词：时滞；稳定性；分岔；时滞反馈控制；非线性系统；记忆；分数阶导数
Stability and bifurcation of delayed dynamic systems： from theory to application
Zaihua Wang, Haiyan Hu
Abstract：This paper surveys recent advances in the study on the stability and bifurcation of time-delay systems. The review focuses mainly on the achievements of authors＇ team in the fundamental studies of stability, Hopf bifurcation and utilization of time delays to improve the system stability, as well as the delay effects on the stability of some typical systems or structures, including an aircraft wing, an inverted double-pendulum and networks. Finally, the paper addresses some open problems for future investigations.
Keyword：delay; stability; bifurcation; delayed feedback control; nonlinear systems; memory; fractional-orderderivative
原文链接：http://lxjz.cstam.org.cn/CN/10.6052/1000-0992-12-018
