On almost periodic solutions of logistic delay differential equations with almost periodic time dependence

In this paper, we study almost periodic logistic delay differential equations. The existence and module of almost periodic solutions are investigated. In particular, we extend some results of Seifert in [G. Seifert, Almost periodic solutions of certain differential equations with piecewise constant delays and almost periodic time dependence, J. Differential Equations 164 (2000) 451–458].     

Asymptotic properties of an HIV/AIDS model with a time delay

A mathematical model for HIV/AIDS with explicit incubation period is presented as a system of discrete time delay differential equations and its important mathematical features are analysed. The disease-free and endemic equilibria are found and their local stability investigated. We use the Lyapunov functional approach to show the global stability of the endemic equilibrium. Qualitative analysis of the model including positivity and boundedness of solutions, and persistence are also presented. The HIV/AIDS model is numerically analysed to asses the effects of incubation period on the dynamics of HIV/AIDS and the demographic impact of the epidemic using the demographic and epidemiological parameters for Zimbabwe.     

Optimal control of delay systems via block pulse functions

The concept of coefficient shift matrix is introduced to represent delay variables in block pulse series. The optimal control of a linear delay system with quadratic performance index is then studied via block pulse functions, which convert the problems into the minimization of a quadratic form with linear algebraic equation constraints. The solution of the two-point boundary-value problem with both delay and advanced arguments is circumvented. The control variable obtained is piecewise constant.     

一阶时滞微分方程解的零点分布

Abstract. The paper gives two estimates of the distance between adjacent zeros of solutions     

基于柔性电路板单纤双向光纤组件的以太无源光网络单元研制(英文)

随着宽带接入技术的发展,以太无源光网络是光纤到户的一种备选方案.而光网络单元数量众多,其成本成为限制以太无源光网络技术实施的重要影响因素.本文提出了一种低成本以太无源光网络单元实现方式:采用带柔性电路板的单纤双向光纤组件直接安装在光网络单元的电路板上.为了验证弯曲柔性电路板的高速性能没有恶化,采用有限元方法仿真了弯曲柔性电路板的小信号响应.由于该方式没有独立的光收发模块,无法采用比特误码分析仪进行测试,因此提出了采用网络测试仪搭建光网络单元的光信号性能测试系统的方案并实现了对光信号的性能测试.结果表明:对于发射机,在0℃~70℃的范围内得到了超过10dB的消光比和1dBm的平均发射功率;对于接收机,估算灵敏度为-27dBm.     

基于智能数据采集器的研究与实现

针对目前各行业数字化、智能化产品应用日趋广泛,数据的获取、传输、分析、应用尤为重要,如何避免采集设备接口单一、功能固定、实用性差等缺点,提出采用ARM嵌入式工控模块M9080-N20为基础,采用VK3266串口芯片扩展UART串行接口,提出基于73K222AU调制解调器、HR219307变压器实现采集器二线模拟通信,并支持以太网、CAN总线和UART串行通信,可以有效解决数据远程采集、传输和控制,适用于特殊环境设备故障检测、诊断和抢修。实验结果证明,智能数据采集器不仅具有多种型号设备故障诊断功能;还能实现野外快速通信组网,不同类型设备数据远程采集、传输、分析和控制功能,在军民融合产品上具有广阔的应用前景和实用价值。     

电子式互感器高频数据采集与传输方案

针对当前电力系统电子式互感器采样率偏低,难以满足行波测距装置准确定位电力故障的问题,提出了电子式互感器高频信号采集与传输方案;电子式互感器内部为Rogowski 线圈,电网电流信号被其微分作用转换为小电压信号并附加了90°超前相差,设计积分电路补偿该相差;设计采样率为2 MSps的高频信号采集电路,FPGA通过LVDS接口读取采样数据,并进行幅值处理,最后利用大容量FIFO(先入先出单元)进行缓存;由于百兆网数据传输速率有限,利用FPGA设计吉比特光纤以太网传输特定格式报文,把电流数据传输至电力行波测距装置;解决了积分电路由于运放输入偏置电压带来的积分饱和问题,以及高速ADC输入量程小于输入信号幅值等技术难点;试验结果表明,高频信号采集及传输方案能够满足行波测距装置百米级别的测距精度要求,具有一定工程应用价值。     

含多滞量的非线性中立型差分方程的振动准则

本文研究了较为一般的含有多个滞量的非线性中立型差分方程的振动性,得到了该类方程振动的一个充要条件．     

一类二阶系统的定性分析

本文借助于Liapunov第二方法获得了一类二阶系统的若干定理,并推广了[1]的结果．应用获得的定理还解决了实际问题．     

TDI CCD成像系统的研究

采用IL E2TDICCD作为传感器 ,与计算机构成了成像系统 ,并在计算机CRT上显示出图像。解决了CCD的时序电路及功率驱动电路设计问题。采用相关双采样技术滤除CCD输出信号复位噪声 ,提高了视频信号的信噪比。CCD的数据传送速度达到 10MHz ,行扫描速度达到 3.5kHz。