一类时滞脉冲微分方程的概周期解

利用锥上不动点定理,研究一类非自治时滞脉冲微分方程的概周期解,给出该系统存在概周期解的一组充分条件.     

A novel numerical method for infinite domain potential problems

The infinite domain potential problems arise in many branches of scientific and engineering fields, which by now still pose a great challenge to scientific computing community.This study proposes a novel meshless singular boundary method (SBM) to solve infinite domain potential problems.The SBM is mathematically simple, easy-to-program, meshless and integration-free.To guar-antee the uniqueness of numerical solutions, this article adds a constant term into the SBM approximate representation.The effi-ciency ...     

时标上二阶中立型时滞动力方程的振动性

借助时间尺度的有关理论，运用 Riccati 变换技巧，给出时间尺度上二阶非线性中立型时滞动力方程的新的振动准则。推广并改进时标上二阶非线性时滞动力方程振动性的一些结果。     

H_∞-based fault detection for nonlinear networked systems with random packet dropout and probabilistic interval delay

The fault detection problem for the nonlinear networked control system(NCS) with packet dropout and delay is investigated.A nonlinear stochastic system model is proposed to account for the NCS with random packet dropout and networkinduced non-uniformly distributed time-varying delay in both from sensor to controller(S/C) and from controller to actuator(C/A).Based on the obtained NCS model,employing an observer-based fault detection filter as the residual generator,the addressed fault detection problem is converted into an auxiliary nonlinear H∞ control problem.Then,with the help of Lyapunov functional approach,a sufficient condition for the desired fault detection filter is constructed in terms of certain linear matrix inequalities,which depend on not only the delay interval but also the delay interval occurrence rate and successful packet communication rate.Especially,a trade-off phenomenon between the maximum allowable delay bound and successful data packet transmission rate is found,which is typically resulted from the limited bandwidth of communication networks.The effectiveness of the proposed method is demonstrated by a simulation example.     

一种有效估计着陆引导信号多径时延的方法

利用导航信号收发已知且具有周期性的特点,提出了一种对着陆引导信号多径时延进行有效估计的方法。该方法首先计算相关函数,而后对相关函数进行二次微分,对时延值进行初步估计。最后通过直线拟合算法和比例拟合算法提高估计精度。通过计算机仿真,验证了算法的有效性。该算法具有在低采样率的条件下,估计精度高的特点。     

凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

针对具有凸多面体不确定性的随机时滞系统，讨论了非脆弱鲁棒指数镇定问题，其中非脆弱控制器中的不确定性采用的是凸多面体不确定描述。基于Lyapunov直接法，采用了与参数相关的Lyapunov krasovskii泛函，并结合自由权矩阵方法, 使得Lyapunov矩阵与系统矩阵分离，从而获得了系统的完全基于线性矩阵不等式的时滞相关非脆弱鲁棒镇定的充分条件。最后,用例子说明了结果的有效性。     

英雄世纪的微积分与几点教学思考

从微积分创建的历史角度阐述微积分的思想方法以及对微积分教学的几点思考,使学生从形式、内容和方法上掌握微积分思想.     

关于和式极限的几个重要定理及其应用

通过几个重要定理介绍一些和式极限的几种简单解法.     

无穷水平倒向双重随机微分方程解的存在唯一性及比较定理

研究无穷区间上的倒向双重随机微分方程,在一类Lipschitz条件下,通过有限区间的逼近,运用Gronwall不等式和It公式,证明了方程解的存在性、唯一性以及比较定理.     

一种适用于军事MANET的服务查找算法

因为高效、负载均衡及可扩展性强等特点,Chord服务查找算法在Internet中得到了成功的应用。然而研究表明,在带宽受限、信道质量差的移动Ad-hoc网络(MANET)中,Chord算法的性能会明显下降。长期以来,人们主要在民用MANET中对Chord算法进行了改进,而对军事MANET的关注很少。为改善Chord算法在军事MANET中的性能,从优化建环过程,改善Finger表和适当增加冗余查找信息三方面对Chord算法进行了改进,提出了一种新的适用于军事MANET环境的MM-Chord(MILITARYMANET Chord)算法。仿真结果与分析表明,MM-Chord算法不仅在查找成功率和查找时延两个关键性能方面明显优于Chord算法,而且比Chord算法具有更好的可扩展性。