渐近的

The sufficient and necessary conditions of the nondegeneracy and struc- tural asymptotical stability for complex systems (parallel systems, series sys- tems and closed systems) are proved.

在这基础上，给出了系统在串联、并联及反馈时构成的复杂系统的非变阶条件和结构渐近稳定的充分必要条件。

In Chapter Ⅲ, by considering functions H k that may not have nonpositive partial derivative on s and employing integral averaging technique and Hardy inequality, the oscillation for a class of high order nonlinear differential equations and high order nonlinear damped differential equations is discussed, new oscillation criteria are established.

第二章利用广义Riccati技巧、积分平均技巧以及微分不等式理论，讨论了一类二阶非线性常微分方程的振动性，得到了若干新的振动准则，并讨论了该方程具有强迫项时解的渐近性态。

Chapter 2 is devoted to the discussion of the asymptotic synchronization of par-tially coupled Lorenz systems with the external coupling matrices being n×n irreduciblesymmetric real matrices having zero row sums and nonpositive off-diagonal elements.

在第二章我们讨论了当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非正的矩阵时部分耦合非恒同Lorenz方程格点系统的渐近同步问题。

The necessary and sufficient condition for that the problem P〓 is nonsingular is derived.

利用原问题与P〓的等价性，给出了原系统二次指标最优控制器的设计，保证了闭环对给定的初值有唯一的光滑轨线且零解渐近稳定。

Selection criterion is based on the Frobenius-2 norm of received signal vector at each receiving antenna.

仿真结果表明，在高信噪比条件下，选择有最大范数的接收天线子集，系统能实现和使用全部接收天线的U码传输系统渐近相同的分集增益。

In this paper, the author is concerned with the problems that are to be solved in the field of Partial Difference Equations such as the following: the existence of oscillatory solutions of some partial difference equation, the asymptotic behavior of positive solutions of the same equation.

本文旨在研究当前偏差分方程领域中尚待解决的有关振动解的存在性及正解的渐近存在性等问题。

When the initial states are random and the reference trajectory is iteration-varying, the new AILC can achieve the pointwise convergence over a finite time interval asymptotically along the iterative learning axis.

在随机初始状态和参考轨迹迭代变化的条件下，所提出的 AILC 仍可沿迭代学习轴渐近地实现有限时间区间上的逐点收敛性。

Afterward, we analyze four possible paths using Pontryagin 's maximum principle, We obtain optimal control rules of two advertising expenditure and the long-run optimal equilibrium solution of this model.

然后，利用庞特里亚金最大值原理对四种可行路径进行分析，分别得出了两种广告支出的最优控制规律与该模型的长期最优均衡解，并研究了长期最优均衡解的渐近性态。

Sufficient conditions of linear and quadratic feedback stabilizability are obtained for nonlinear systems with uncontrollable critical mode (a single zero eigenvalue, or a pair of pure imaginary eigenvalues), corresponding algorithms are given for constructing stabilizing laws.

结合中心流形方法和范式理论研究了临界情形下非线性系统的稳定性问题，针对临界模态为单零特征值、一对纯虚特征值和一对零特征值的情形，分别获得了渐近稳定或不稳定的充分条件，给出了相应稳定性判据。

In the third chapter, the contractilities and asymptotical stabilities of neutral delay integro-differential equations are concerned. The extended Runge-Kutta methods, with the compound quadrature formula and the Pouzet quadrature formula, are numerically stable under suitable conditions. The numerical experiments prove this result.

第三章，研究了中立型延迟积分微分方程，其理论解的收缩性和渐近稳定性，利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法，并获得了数值方法的稳定性条件，随后的数值试验结果进一步证明了方法是数值稳定的。

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。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

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。