SOME PROBLEMS OF LYAPUNOV METHOD IN LINEAR CONTINUOUS-TIME SYSTEM

In this paper,some problems of Lyapunov method in linear continuous-time systemare discussed.In part 1,some motivations are given.In part 2,in order to get a good estimate ofthe decaying time in the system,the concept of appropriate Lyapunov function is introduced andthe condition of the system is given to guarantee the existence of the appropriate Lyapunov functionAn application of the appropriate Lyapunov function is introduced to give the bound of time varyingperturbation for the stable system.In part 3,some extensions of the Lyapunov asymptotical stabilitytheorem are given,where the condition of the total derivative of the Lyapunov function along thetrajectory of the system can be reduced from negative definiteness to semi-negative definiteness andcommon quadratic forms with some reasonable conditions,the example shows the extensions areinteresting.     

完全信息和非完全信息静态"监考博弈"

构建了一个完全信息和非完全信息“监考博弈”模型来分析大学生考试作弊的动机、后果及对策。结论是高校现存的管理措施不当,奖罚措施不利,并给出了政策性建议。     

A REPRESENTATION THEOREM OF THE BOUNDED REGULAR OPERATORS FROM SOME SPACE X ONTO L_1(μ)

1 PreliminaryIn this paPer, (n, Z, p) denotes the measure space of all finite complete positive measures,Ll (p) denotes all Bochner integrable functions on (Q, Z, p). Suppose X, Y are normed vectorlattices, X denotes the positive cone of X, L(X, Y) denotes all the 1inear operators from Xto Y. However, L(X, Y) may not be a lattice under the classical order. In [1], we know that ifX is a Banach lattice, then R(X, Y) 2 L"(X, Y), and if Y is order complete, so does R(X, Y).(Here R(X…     

嫦娥一号的奔月日记

北京时间2007年10月24日18时05分，长征三号甲火箭托举着我国第一颗月球探测卫星——嫦娥一号在西昌卫星发射中心，从三号甲塔架点火发射。11月5日上午11时，嫦娥一号顺利被月球“捕获”成为一颗绕月卫星。在经过三次近月制动后，嫦娥一号进入开展科学探测的工程轨道，随后将进行为期一年的对越科学探测。这是探月三部曲的第一步，也是中国空间探测历史上的新的里程碑。本文介绍了嫦娥一号从发射到2007年11月26日的每一次重要事件。     

高填方路基工后沉降控制后处理技术

介绍一种高填方路基工后沉降控制后处理技术，针对高填方路基工程中代表性的高填方软土路基，采用无砂混凝土小桩复合地基后处理技术，实现工后变形控制的技术机理，并通过工程试验分析提出工程设计与施工的建议。     

纳卫星轨道热环境仿真分析

轨道热环境分析对于纳卫星热控系统的设计与仿真研究具有重要意义。针对进行纳卫星轨道热环境分析的关键问题,通过详细的数学分析,建立起计算简单、便于应用的纳卫星本体质心坐标系内的太阳向量、地球向量的仿真计算模型,以及外热流分析所必需的其它时变空间几何参数的计算方法,满足了纳卫星热控系统的在轨仿真计算中快速、简便的进行太阳辐照、地球辐照、地球反照等外热流计算的客观需要,进而应用上述模型和方法对一椭圆轨道近地空间探测纳米卫星的轨道热环境进行了仿真计算,并对其结果进行了详细的分析与讨论。     

欧德斯(Erd(o)s)猜想的证明注记

文章对文[5]中引理2的证明中两个关键点作了进一步阐述,并揭示了引理2证明的理论根据实质上是集合论、映射和一一对应及数列的排列规律;而且给出了“必存在符合条件的n1、n2值使n1≠n2”的证明。     

新形势下发展来华留学生事业的思考

由于中国经济的迅猛发展,大量的留学生涌入我国,目前是留学生对外汉语事业发展的黄金时期。但是有的地方院校却出现了发展缓慢的现象。为了彻底改变停滞状态的发展局面,必须从领导到教师都转变观念和改变工作作风,以扩大生源和稳定生源作为出发点,力求在最短时间内走出低谷。     

The orbital scale evolution of regional climate recorded in a long sediment core from Heqing, China

Based on the analysis of carbonate content and loss on ignition for a long sediment core (737 m in length) drilled in Heqing, the orbital scale evolution of the Southwest Monsoon is revealed, by using overlapped spectral analysis and filter methods. It is shown that the obliquity cycle and precession cycle are the key factors for the Southwest Monsoon evolution and that the change of the global ice volume and the uplift of the Qinghai-Tibetan Plateau also impose great influences on it.     

关于三类五点图的多重完全多部图设计

λKn(g)是一个λ重完全n部图,G为一个不带孤立点的简单图.一个(λKn(g),G)-设计是将λKn(g)划分成边互不相交的子图,使得每一个子图都和G同构.应用GDD、加权和闭包等构造方法讨论G为三类五点图Gi(i=1,2,3)时(λKn(g),G)-设计对于任意λ的存在性问题,得到如下结论:(λKn(g),Gi)-设计(i=1,2,3)存在的充分必要条件是λn(n-1)g2≡0(mod 10),n≥2,ng≥5,其中i=1,2时(n,g,λ)≠(5,1,1).