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A sufficient condition is proposed for robust asymptotic stability of the autonomic system in terms of linear matrix inequality.

基于线性矩阵不等式的方法推导了该系统鲁棒渐近稳定的充分条件,并给出了系统状态反馈镇定器和理想滑动模态存在的充分条件。

By constructing suitable Lyapunov functions, we establish sufficient criteria for asymptotic stability of the zero solutions.

利用构造Lyapunov函数的方法,给出了零解的渐近稳定的充分条件。

Under some assumptions on the initial value, the asymptotic behavior of weak solutions for a fourth order degenerate parabolic equation with nonlinear relation is discussed.

在一些初值的假定下,讨论一个具有非线性关系的退化四阶抛物方程弱解的渐近行为。

This particular formula involves a special function,which is the uniformly bounded solution to a scalar Riemann-Hilbert problem,and which is asymptotically equal to the constant "1" except at the origin.

这个特殊的公式包含了一个特殊函数,这个特殊函数实际上是一个一维Riemann-Hilbert问题的一致有界的解,并且除了在原点,它的取值都渐近地等于常数"1"。

They also show that the DSUR estimators have asymptotically mixed normal distribution and the tests of parametric restrictions can be constructed by the Wald statistic which is asymptotically distributed as a chi-square variate.

如Mark et al(2005)等提出了似无关动态协整模型的思想及其估计方法,以此来消除解释变量的内生性影响,并获得了一个标准的渐近分布。

Kulldorf'book(1961)sysmatically studied the MLE of the location and scale pa-rameters belonging to the exponential family,Kulldorf proved that the MLE wasconsistent and has asymptotically normal distribution.

Kull-dorf(1961)在所著的书里系统地研究了如何利用分组数据求指数分布族的位置参数与尺度参数的最大似然估计,并且证明了MLE的相合性与渐近正态性。

Under some regular conditions, we propose estimating equations for H,β and θ, and computational algorithm for solving the equations. We prove that the estimators are asymptotically normally distributed.

进而我们提出了估计H、β和θ的一套估计方程,给出了求解这些方程的计算机算法,讨论了估计量的极限性质,证明了估计量是渐近正态的,并且其极限协方差阵可以被相合地估计。

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容:第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统,利用微分方程比较原理得到该系统一致持续生存的条件;通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程,发现在时滞等于零时该正平衡解是渐近稳定的,当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

The final asymptotically stable system can be linear or nonlinear.

所得到的渐近稳定系统既可以是线性的,也可以是非线性的。

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Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说,如果是/否的问题回答f可看的价值观念在许多最有限坐标,然后它有一个概率的答案。

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实验表明:基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小,它既能去除奇异点,又能保持图像中目标的边缘不变性,具有很好的滤波效果。

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本文根据心理学原理论述了改革初中物理教学的必要性,并对"启发、讨论、归纳法"在物理教学中的应用作了详细的阐述。