查询词典 nonlinear optimization

The estimation problem of the fuzzy nonlinear complexity of the random vector is studied, and some upper bounds are given. The limit properties of fuzzy nonlinear complexity of random vector are studied, and the limit theorem and the upper bound of variance limit of the fuzzy nonlinear complexity of random vector are given.(3) Enumeration of lst-order correlation-immune functions is discussed further.

首次提出了模糊非线性复杂度的概念，对随机向量的模糊非线性复杂度的均值进行了估计，给出了若干上界估计公式，并研究了随机向量模糊非线性复杂度的极限性质，给出了随机向量模糊非线性复杂度的极限定理及其方差极限的上界。

Three types of nonlinear element are introduced, one is the existing elastic-plastic flexural column element for reinforced concrete columns, the other two are nonlinear bearing element and nonlinear restrainer element developed by the author.

论述了用逐步积分法进行多点激励下非线性地震反应分析的过程，其中包括三种非线性单元的建立（前人发展的钢筋混凝土弹塑性梁柱单元，作者发展的非线性支座单元、非线性挡块单元）。

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

For accuracy and computation cost, the nonlinear finite element structural dynamics model of the naval gun is created with different elements such as solid elements, shell elements and the nonlinear components are considered, especially the large displacement slide and the nonlinear spring connection between gun tube and cradle rail.

在建立有限元模型时，考虑了火炮各部件间复杂连接，尤其是身管与摇架间的大位移滑动接触的非线性问题。

The hyperbolic-type nonlinear model and rigid and perfectly-plastic model are usually adopted to simulate the constitutive behavior in tangent direction of contact surface. in fact, however, the hyperbolic-type nonlinear model can not definitely display the plastic flow deformation after shear failure while rigid-perfectly-plastic model can not describe the nonlinear deformation before shear failure.

对于土与结构间接触面的切向本构关系，目前通常采用双曲线非线性弹性模型或刚塑性模型来描述，但是，传统的双曲线非线性模型不能明确地表达剪切破坏后的塑性流动变形特性；而刚塑性模型又无法描述剪切破坏之前的非线性弹性变形。

Several important nonlinear equations of mathematical physics such as φ4 equation, Klein-Gordon equation, the approximate equations of sine-Gordon equation and sinhGordon equation, Landau-Ginzburg-Higgs equation, Duffing equation, nonlinear telegraph equation are the special cases of the nonlinear wave equation presented in this paper.

几个有重要应用的非线性数学物理方程，如矿方程，Klein-Gordon方程，Sine-Gordon方程，及Sinh-Gordon方程的近似，Landau-Ginzburg-Higgs方程，Duffing方程，非线性电报方程等都可作为该方程的特殊情形得到相应的显式精确解，这里方法也可推广到n+1维空间情形。

Based on the review of progress in parametric uncertainty nonlinear system control theory, it is noticed that design methods based on feedback linearization are the main parts and the author proposes a robust controller design method for a nonlinear parametrization uncertain system satisfying feedback linearization and triangularity conditions,and a robust output tracking controller for a nonlinear parametrization uncertain system based on the identification of uncertain parameters.

在对该领域研究进展分析的基础上，针对满足三角形条件和反馈线性化条件的非线性参数化不确定系统提出了一种鲁棒控制器设计方法，并针对非线性参数化不确定系统提出了基于参数识别的鲁棒输出跟踪器的设计方法。后者是本文为飞机防滑刹车系统设计输出跟踪器的理论基础，同时也是本文的创新点之一。在对结合力产生本质讨论的基础上，分析了滑水现象产生的原因和预防措施。

The optical nonlinearities, including the nonlinear absorption, the nonlinear refraction and the third-order nonlinear polarizability of 2-(2′-hydroxyphenyl)benzothiazole in cyclohexane, have been investigated using a single-beam Z-scan technique.

以532 nm皮秒脉冲作泵浦光，采用单光束Z-扫描技术对具有激发态分子内质子转移效应的有机分子2-(2′-羟基苯基)苯并噻唑在其双光子吸收区的非线性光学特性进行了详细地研究。

Two kinds of manipulative methods are applied to heating furnace systems, they belong to classical PID ,nonlinear PID .From comparing with them,we can find that the nonlinear PID method which is presented by this paper, not only has the characteristic of high "robustness and adaptability" that nonlinear PID controller has,but also has higher corresponsive speed and shorter regulating time.

基于这种非线性PID，结合加热炉的特性，设计出了一种非线性PID控制器，并分别用普通PID、非线性PID对其控制，通过系统仿真比较发现，本文提出的非线性PID不仅具有高鲁棒性和适应性特点，同时使调节时间更短，响应速度更快。

The paper aim at the three-phase voltage source SPMW-inverter, which is applied in variable-speed wind turbines system, adopts the theory of nonlinear counterchange and nonlinear feedback, creates the three-phase voltage source PWM-inverter's nonlinear model, and deduces it's feedback linearization equation, consequently, the three-phase voltage source PWM-inverter active and reactive current decoupling control is proposed.

该文针对变速风力发电机组系统所用的三相电压型SPWM 逆变器，采用非线性变换和非线性反馈理论，建立了三相电压型 PWM 逆变器非线性数学模型，推导出其反馈线性化方程，从而得出三相电压型 PWM 逆变器有功电流和无功电流的解耦控制策略。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。