查询词典 perturbation function

In this chapter the model of minimal perturbation constraints nonlinear programming is established, and the concept of the minimal perturbation efficient solution is introduced.

在研究模型中的较多约束集的结构表示的基础上，给出了较多约束最优解要满足的Fritz John条件和Kuhn-Tucker条件。

This paper introduces the concept of minimal perturbation efficient solution in minimal perturbation constraints programming.

文中引进了极小扰动约束规划的极小扰动有效解概念。

Secondly, the effectiveness and limitation of the classical perturbation, such as the method of multiple scales and the Poincare-Lindstedt method, are discussed in detail through a Duffing oscillator with delayed velocity feedback. It is shown that the two perturbation methods are effective only in solving the approximate solution of the first two orders. An ambiguity or paradox will be encountered when they are used to seeking for the third or higher order approximation of solution.

其次，以一具有时滞速度反馈的Duffing系统为例，研究了经典摄动法如多尺度法，Poincaré-Lindstedt法等在求解时滞微分方程级数解时的适用性和局限性问题，指出利用这些方法只能有效求得系统的前两阶近似解，而在求系统的三次以上近似解时会出现矛盾或二义性。

Moreover, the choices of the singular perturbation parameter are studied, and a new simple and convenient method to estimate the bound of the singular perturbation parameter is designed.

此外，本文还研究了奇异摄动小参数的选取，提出了一种新的简单易行判定稳定性界的方法。

The perturbation signals were embedded in a chaotic attractor on the inputs of parameter perturbation model.

用该扰动信号，将嵌入在混沌吸引子中不稳定周期轨道镇定到稳定的不动点处。

In order to solve this model, perturbation method is employed and the solution is expanded into a series in powers of perturbation parameter.

利用小扰动方法处理了任意形状非均质油藏不稳定渗流问题，将解表达成关于扰动参数的无穷幂级数形式。

Perturbation theory in physics and engineering technology have been widely used, known as perturbation theory.

摄动理论在物理学和工程技术上也被广泛采用，称为微扰理论。

The exact invariants of the symmetry for the system without perturbation are given. Perturbation to weakly Noether symmetry is discussed and the adiabatic invariants of the perturbed system are obtained.

给出了未受扰动系统的弱Noether对称性导致的精确不变量，讨论了受扰动后系统弱Noether对称性的摄动，并得到受扰动后系统的绝热不变量。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

PID controllers based on the interval polynomial stabilization theorem;2. Not only the H ∞ norm calculating guestion of the robust stability of the mixed-type perturbation in the interval polynomial family is studied, but also the range which can be done is enlarged to that of the more general linearly dependent cofficients perturbation.

本文讨论了不确定性系统的鲁棒稳定性分析问题，不仅研究了区间多项式族混和摄动的鲁棒稳定性中H∞的计算问题，而且将研究的范围从区间多项式族扩展到更具一般性的线性相关系数摄动的系统，以值域断面的几何性特为基础，提出了一种形象直观，简便实用的混和型摄动系统鲁棒稳定性的分析方法。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。