多奇点Li■nard型系统解振动的充要条件

本文在较宽的条件下，对含多个奇点的Lienard型系统x＝h（y）-F（x），y＝-g（x）解的振动性进行了研究，给出了解振动的充要条件，推广和改进了文［1～4］的结果．     

IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR'E SYSTEMS

IntroductionInpractice ,thereexistmanyexamplesofimpulsivecontrolsystems (seeRefs.[1 ,2 ,3 ] ) .Recently ,impulsivecontrolhasbeenwidelyusedtostabilizeandsynchronizechaoticsystems(seeRefs.[4～ 1 5] ) .Forexample,thepredictivePoincarecontrol[4 ]andtheoccasionalproportionalfeedbackcontrol[5 ]aretwoimpulsivecontrolschemeswithvaryingimpulsiveintervals.Yangetal.inRefs.[7,1 1 ]studied ,respectively ,thestabilizationandsynchronizationofaclassofchaoticsystemscalledLorenzsystems .YangandChuainRef.[1 …     

关于大系统的平稳振荡

本文用矩阵测度研究了非线性周期大系统的平稳振荡问题，给出了存在平稳振荡的充分条件，推广和改进了文［１－８］的工作。     

一类Kolmogorov模型的全局稳定性

本文对如下的一类Kolmogorov模型进行了定性分析,得到了系统(Eqs.)的唯一正平衡点全局稳定的充分条件和给出了生态解释。     

关于泛函微分系统的平稳振荡

该文对高维泛函微分系统引进S-稳定的概念,得到了较一般的关于高维泛函微分系统存在平稳振荡的充分条件.作为结果的应用,给出了一些泛函微分系统存在平稳振荡的简明判别准则.     

二元函数极限、连续、微分之间的关系与反例

<正> 多元函数连续、可导、可微是极其重要的概念,初学者常常将其与一元函数相应概念混淆.“多元函数微分学中的几个重要问题”一文已从理论上予以分析,为加深理解,本文以例题进一步揭示它们之间的关系。     

Lur''''e系统稳定与同步的脉冲控制

提出了Lur’e系统的脉冲控制系统，利用关于脉冲系统稳定的几个定理，得到了具变化的脉冲区间的Lur'e系统镇定的充分条件；并且给出了Lur'e系统的适当参数与脉冲控制律，使得两个Lur'e系统脉冲同步。最后，给出数值例子说明本结论的有效性。     

Robust H∝ filtering for discrete-time impulsive systems with uncertainty

This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance. First, an impulsive linear filter and a robust H∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a sufficient condition of asymptotical stability and H∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities （LMIs）. Finally, a numerical example is presented to show effectiveness of the obtained result.     

Delay-dependent robust stability and H_∞ analysis of stochastic systems with time-varying delay

This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He's technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples are given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature.