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| 1 | 时滞动力系统的稳定性与分岔:从理论走向应用显示文摘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. | 王在华 胡海岩 | 2013 | 力学进展2013，43，1： | 48 |
| 2 | Delayed feedback control experiments on some flexible structures显示文摘In recent decades,studies on delayed system dynamics have attracted increasing attention and advances have been achieved in stability,nonlinearity,delay identification, delay elimination and application.However,most of the existing work is on the theoretical basis and little is on the experiment.This paper presents our experimental studies on delayed feedback control conducted in recent years with the focus on the discussion of a DSP-based delayed experiment system.Some phenomena in our delay experiments are discussed and a few topics of interest for further research are brought forward. | Guo-Ping Cai·Long-Xiang Chen Department of Engineering Mechanics, State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University,200240 Shanghai,China | 2010 | Acta Mechanica Sinica2010，26，6： | 5 |
| 3 | Noether Theorem for Generalized Birkhoffian Systems with Time Delay显示文摘The Noether symmetries and the conserved quantities for generalized Birkhoffian systems with time delay are studied.Firstly,the generalized Pfaff-Birkhoff principle with time delay is proposed,and the generalized Birkhoff's equations with time delay are obtained.Secondly,the generalized Noether quasi-symmetric transformations of the system are defined,and the criterion of the Noether symmetries is established.Then the Noether theorem for generalized Birkhoffian systems with time delay is established.Finally,by imposing restrictions of constraints on the infinitesimal transformations,the Noether theorem of constrained Birkhoffian systems with time delay is established.One example is given to illustrate the application of the results. | Zhai Xianghua Zhang Yi | 2018 | Transactions of Nanjing University of Aeronautics and Astronautics2018，35，3： | 3 |
| 4 | 柔性板的时滞H_∞控制的理论与实验研究显示文摘以柔性板为对象,开展时滞H_∞控制的理论与实验研究.首先给出柔性板的时滞动力学方程;然后利用Lyapunov-Krasovskii泛函和自由权矩阵法,推导了闭环时滞系统渐近稳定的矩阵不等式;进而根据该矩阵不等式采用参数调节法及遗传算法,研究了如下两类控制设计问题:已知控制律求解最大稳定时滞量,已知最大稳定时滞量求解H_∞控制律;最后对理论研究成果进行了数值仿真和实验验证.结果显示,获得的H_∞控制律能够有效地抑制板的弹性振动,所确定出的保证系统稳定性的时滞区间更接近实际情况. | 赵童 陈龙祥 蔡国平 | 2011 | 力学学报2011，43，6： | 2 |
| 5 | 柔性板时滞鲁棒控制的实验研究显示文摘以柔性板为对象,开展时滞H∞反馈控制的理论与实验研究。首先通过一种特殊形式的积分变换,将时滞方程转化为无时滞的标准状态方程形式,然后采用线性矩阵不等式设计H∞控制律,最后开展数值仿真与实验验证。结果显示,所给时滞H∞控制律不但可以处理小时滞量问题,也能处理大时滞量问题,而且具有对结构固有参数和时滞量不确定性的鲁棒性。 | 赵童 陈龙祥 蔡国平 | 2012 | 振动工程学报2012，25，3： | 0 |
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