渐近的

Constructing an entire function a;, the zeros of which are the eigenvalue of Dirac eigenvalue problem with general two points' linear algebra boundary conditions.

根据ω各项系数的不同情况，将一般两点边界条件分为八种基本类型，并得到相应的八个决定特征值的整函数ω和它们在相应围道上的渐近估计。

The generalized Law of Mean with unilateral derivative and its asymptotic features of the "centred dot" are studied.

本文研究了单侧导数的广义中值定理及其"中间点"的渐近性质，进而获得了更广泛的结果。

This paper first studies the varying coefficient model by Hastie and Tibshirani(1993), and establishes unknown function coefficients and variance error estimator, and discusses asymptotic properties of estimators.

本文首先研究了Hastie和Tibshirani(1993)提出的变系数模型，运用小波方法建立了未知系数函数以及模型误差方差的估计量，并讨论了这些估计量的渐近性质。

By using new inequality techniques, homotopic mapping and constructing a new type Lyapunov func tional method, we obtain some new criteria guaranteeing global asymptoticstability.

研究多时滞Cohen-Grossberg神经网络的全局渐近稳定性，利用新的不等式技术，同伦映射及李雅普诺夫泛函方法，我们获得了几个新的准则。

Both the torsional motion and the horizontal cable deflection are known to be important for the full problem, but we will concentrate on the asymptotic analysis of the coupling of spans.

双方扭议案和横向电缆偏转是众所周知的，重要的是，充分的问题，但我们会集中精力处理渐近分析的耦合跨越。

There are two possibilities if we consider only the case that the positive equilibrium of the system p is hyperbolic.

该模型在我们感兴趣的区域里面存在一个双曲平衡点；并且这个平衡点要么是渐近稳定的，要么其稳定流形是一维的从而存在周期解。

The design of fuzzy H(subscript ∞) filter is based on T-S fuzzy model, which assures asymptotic stability and prescribed H(subscript ∞) index for the error filtering system.

模型H H滤波器的设计建立在T-S模糊模型上并能确保滤波误差系统的渐近稳定和给定的H H性能指标。

In Chapter 3, using the distribution theory, we discuss the precise largedeviations of heavy-tailed random sums and the integral representation of the tailasymptopics of the maximum on a random time interval of a random walk with heavytailed increments.

在第三章，我们利用分布理论对重尾随机和的精致大偏差以及重尾随机游动随机时的最大值的尾渐近性的积分表示讲行了讨论。

Several sufficient conditions for judgement of the invariant set and the attraction for the equations are obtained by using the properties of nonnegative matrices and some analytical methods.

对一类大型非线性偏泛函微分方程的渐近行为进行研究，利用非负矩阵性质和适当的分析技巧，建立了判断其不变集和吸引性的充分条件。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

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。