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

doi:10.6052/1000-0992-12-018

时滞动力系统的稳定性与分岔:从理论走向应用

doi: 10.6052/1000-0992-12-018

王在华^1,2,,
胡海岩^1,3

1.
机械结构力学及控制国家重点实验室, 南京航空航天大学, 南京210016
2. 解放军理工大学理学院, 南京211101
3. 北京理工大学宇航学院, 北京100081

基金项目: 国家自然科学基金重点项目(10532050),国家杰出青年科学基金(10825207),全国优秀博士学位论文作者专项基金(200430),国家自然科学基金重点项目(11032009)资助

详细信息

作者简介:
王在华, 1964 年生, 现任解放军理工大学教授和南京航空航天大学兼职教授. 2000 年毕业于南京航空航天大学一般力学与力学基础(动力学与控制) 专业,获理学博士学位, 学位论文被评为2004 年度全国优秀博士学位论文. 曾任德国科隆大学和斯图加特大学洪堡基金研究员以及科隆大学洪堡基金访问教授. 主要学术兴趣为具记忆效应的动力系统的建模、稳定性与非线性动力学,2008 年获得国家杰出青年科学基金和政府特殊津贴.

通讯作者:
王在华

中图分类号: O177.91
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- 被引次数: 0
出版历程
- 收稿日期: 2012-02-26
- 修回日期: 2012-05-03
- 刊出日期: 2013-01-24

Stability and bifurcation of delayed dynamic systems: from theory to application

WANG Zaihua^{1,2
,},
HU Haiyan^1,3

1.
State Key Laboratory of Mechanics and Control of Mechanical Structures Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. PLA University of Science and Technology, Institute of Science, Nanjing 211101, China
3. Beijing Institute of Technology, School of Aerospace Engineering, Beijing 100081, China

Funds: This project was supported by Key Program of the National Natural Science Foundation of China (10532050, 11032009), National Natural Science Foundation for Distinguished Young Scholars (10825207), and Foundation for the Authors of National Excellent Doctoral Dissertation of China (200430).

More Information

Corresponding author: WANG Zaihua

摘要

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.
- 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
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.
- delay /
- stability /
- bifurcation /
- delayed feedback control /
- nonlinear systems /
- memory /
- fractional-order derivative

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