摄动函数

A Kharitonov-like finite check criterion for robustness of event-order is given for the case in which the event occurrences are affine linear function of perturbed parameters.

对于事件发生时刻是摄动参数的仿射线性函数的情形，得到事件时序鲁棒性的Kharitonov-like判据。

To avoid or reduce re-analysis, we derived the augmentative matrix variation only in summation of the previous matrices time the outside-perturbed parameters by decomposing the element stiffness and mass matrix. The implicit function of amplitude about design variables such as cross-areas and lengths is changed into simplistic function about the perturbed parameters of design variables. Several methods for determining the value of perturbed parameters are detailed.

为避免或减少重分析，将有限元单元阵进行了分解变换组装，使振幅与设计变量如截面面积、长度的复杂隐函数关系转化为对设计变量摄动参数的显式关系，进而将设计变量摄动参数提取在分解后的几个常数刚度阵、质量阵之外，避免了在迭代求解过程中重组刚度阵与质量阵，较快地获得问题的解。

In this paper perturbation of eigenvalue and eigenfunction for higher order ordinary differential equation in the case of boundary perturbation combined with operator perturbation we considered.

本文研究了在边界和算子摄动相结合的情况下高阶常微分方程特征值与特征函数的摄动，把摄动问题A_6，μ的特征值λ_ε，μ和特征函数y_6，μ按两参数ε、μ的次幂展开，并且证明这些展开式当ε、μ充分小时是收敛的。

It is of instructive significance to the design of robust controller when the closed-loop gain shaping algorithm is used to decide the magnitude of the model perturbation.

为了给出闭环增益成形算法的模型摄动形式，用小增益理论和H 混合灵敏度算法的结果进行推导，发现闭环增益成形算法的模型摄动形式与灵敏度函数的形式相同，该结论对用闭环增益成形算法设计鲁棒控制器时系统所能忍受的模型摄动大小的确定具有指导意义。

Schwartz mapped the interior of each fluid cycle in the physical plane into an annulus of unit outer radius in the mapping plane according to the conformal transformation. And the perturbation theory is the main way of solving conformal parameters.

L.W.Schwartz的关于定常二维非线性波算法的主要思想是为了利用已知速度势的解析解，将一个波长的自由表面同底部所限定的流域采用合适的保角变换函数变换为映射平面上一圆环，在求解保角变换函数的变换系数时采用摄动理论进行求解。

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

Some conclusions are obtained:(1) The interval data concept can rationally settle the apart component's dependence problem of monitoring data;(2) The survey point's displacement which is the material parameter's increasing function or deducing function can be used to back-analyse the material parameter's up and down limit; and (3) Both the interval parameter perturbation back analysis method and the interval parameter monotony back analysis method can obtain satisfactory interval parameters.

通过分析得出结论：(1)可利用区间数概念合理解决监测资料中分离分量相关性的问题；(2)可利用工程结构中位移为待反分析材料参数的增函数或减函数的测点位移的上、下限，来反演得到不确定性材料参数的上、下限；(3)工程算例分析表明，区间参数摄动优化反分析法和区间参数单调性优化反分析法都能得到令人满意的参数区间。

At last, the MC method,PPEM, and the frequency transfer function perturbation method have been used to analyze the effect of structural random damping onstructural displacement.

在论文的最后，利用Monte Carlo法、摄动虚拟激励法、频域传递函数摄动法研究结构随机阻尼对结构位移响应的影响。

The asymptotic solutions of non-uniform conical shells under arbitrary boundary conditions are determined by double-parameter perturbation technique and transfer function method.

利用摄动方法，将微分方程进行双参量摄动，采用传递函数法对所得到的摄动方程进行求解，得到了变厚度圆锥壳在任意边界条件下的渐近传递函数解。

Based on these, an improving μ-synthesis is presented, with which the high-purity distillation is designed well. 2. The robust performance problem of MIMO plant is explained with the plant direction angle, which shows that the robust performance varies with different input uncertainties and the μ-synthesis should be applied correctly according to the uncertainty structure. 3. Condition number and bandwidth are the important items for robust performance design in MIMO system. The H〓 two-block problems can not deal with the robust performance design of MIMO system because of the condition number cancellation. A general μ-synthesis procedure for MIMO system with uncertainties is presented. 4. For the SISO system, the object function in robust performance is amplified by at most 〓 than that of H〓 two-block problems in value: So the robust performance of SISO system can be done with the H〓 two-block problems to avoid the complicated μ-synthesis procedure. 5. All the conclusions and methods presented in this paper are demonstrated by some typical design examples.

从而形成一种改进的μ综合方去，并对精馏塔病态对象进行了鲁棒性能设计，得到令人满意的结果；（2）利用对象的方向角解释了MIMO对象鲁棒性能设计出现问题的原因，并提出不同输入摄动形式下系统的鲁棒性能问题也并不相同，因此利用μ综合处理鲁棒性能设计时，应根据不同的摄动情况采用不同的结构进行设计：（3）条件数问题和带宽问题是MIMO系统鲁棒性能设计的两个主要问题，指出由于条件数对消的存在使得一般H〓两块问题无法处理MIMO系统的鲁棒性能设计，而μ综合方法则是处理MIMO系统鲁棒性能设计的有效方法，并给出了其处理MIMO系统鲁棒性能设计的一般性方法；（4）提出对于SISO系统H〓两块问题（S/T问题、S/KS问题）的设计指标函数与鲁棒性能设计的μ指标函数在数值上最大差〓倍，因此对于一般SISO系统的鲁棒性能设计可以简单地用一般的H〓的两块问题处理，而避免μ综合设计的复杂过程；（5）本文中提出的结论和算法都利用H〓/μ发展中的典型例子：Doyle-Stein问题，Safonov的战斗机模型，精馏塔对象等进行了设计验证。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。