Consensus design for continuous-time multi-agent systems with communication delay

This paper investigates a consensus design problem for continuous-time first-order multiagent systems with uniform constant communication delay.Provided that the agent dynamic is unstable and the diagraph is undirected,sufficient conditions are derived to guarantee consensus.The key technique is the adoption of historical input information in the protocol.Especially,when agent＇s own historical input information is used in the protocol design,the consensus condition is constructed in terms of agent dynamic,communication delay,and the eigenratio of the network topology.Simulation result is presented to validate the effectiveness of the theoretical result.     

以滞量为参数的 Vanderpol型方程的 Hopf分支

本文以滞量为参数讨论了时滞 Ｖａｎ ｄｅｒ ｐｏｌ型方程的 Ｈｏｐｆ分支情况。     

具无穷时滞的非自治的Lotka-Vdterra捕食-被食系统的持久性和吸收性

利用微分不等式方法，讨论了一类具无穷时滞的非自治的Ｌｏｔｋａ－Ｖｏｌｔｅｒｒａ系统的持久性和吸收性问题。     

基于低帧频CCD的快速反射镜系统控制(英文)

低频采样和延迟对光电成像跟踪系统会带来严重的相位滞后,极大地限制了系统闭环带宽和跟踪精度的提高.零极点对消法虽可以抑制对象谐振而扩大系统带宽,但必须依赖精确的数学模型和较高的采样频率.分析了复数零点PID控制器在低频采样的FSM控制系统中的应用,可以获得较好的闭环性能而且可以避免零极点对消法无法单独应用于低频采样的跟踪系统的问题.采用200 Hz帧频的CCD对此方法进行了实验验证,实验结果证明满足设计要求.     

Analysis of the global T_m–T_s correlation and establishment of the latitude-related linear model

In this study,the correlation between Tm,a key variable in GNSS water vapor inversion,and surface temperature(Ts)was calculated on a global scale based on the global geodetic observing system(GGOS)atmosphere Tmdata and European centre for medium-range weather forecasts(ECMWF)surface temperature data.The results show that their correlation is mainly affected by latitudes,and the correlation is stronger at high latitudes and weaker at low latitudes.Although the correlation is relatively weak in the tropic areas,the temperature changes so little in a year in these areas that we can still achieve good Tmresults by linear regression model.Based on these facts,‘‘GGOS atmosphere’’Tmdata and ECMWF Tsdata from 2005 to2011 were used to establish the global latitude-related linear regression model.The new model has root mean square error(RMSE)of 3.2,3.3,and 4.4 K,respectively,compared with respect to the‘‘GGOS atmosphere’’data,COSMIC data,and radiosonde data and is more accurate than the Bevis Tm–Tsrelationship.     

Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method

The asymptotic Lyapunov stability of one quasi-integrable Hamiltonian system with time-delayed feedback control is studied by using Lyapunov functions and stochastic averaging method. First, a quasi-integrable Hamiltonian system with time-delayed feedback control subjected to Gaussian white noise excitation is approximated by a quasi-integrable Hamiltonian system without time delay. Then, stochastic averaging method for quasi-integrable Hamiltonian system is used to reduce the dimension of the original syst...     

具有无穷时滞和反馈控制的Lotka-Volterra捕食系统的生存分析

研究了具有无穷时滞和反馈控制的具有m个捕食者和n个食饵的Lotka-Volterra捕食系统,运用比较定理得到了系统持续生存的充分条件.     

一个时滞经济增长模型的动态分析

提出了一个基于Solow模型的考虑时滞作用的多种资本投入的经济增长模型，该模型的生产函数是满足“新古典”条件的一次齐次函数，在所的条件下，证明了系统有唯一的正平衡解；使用单调互动力系统的已有结果推得系统的正解是全局稳定的，关于参数的静态分析也与经典的增长模型完全一致，结果表明，在考虑时滞与多资本的因素下，经济系统仍能达到稳定状态，这在一定意义上揭示了Solow模型的深刻内涵。     

a阶时延逆系统的小波神经网络实现

研究采用小波神经网络（WNN）构造a阶时延逆系统的工程实现问题，并给出了a阶时延逆系统小波神经网络存在的充分条件。文中利用小波具有的时频局域化特性，完成小波神经网络的初始化，并去除网络中大量不必要的节点，使网络大大简化。仿真研究表明，该方法对a阶时延逆系统的实现具有良好效果。     

关于时滞微分方程的零点距

文章获得了一阶单时滞线性微分方程解的零点距不大于滞量的充分条件。