最优法

First, the state～space equation of the circular inverted pend ulum system was established based on the Lagrange Equation. On the base of that, the circular inverted pendulum was swung up by the energy control strategy, and the controller of the system was designed by the pole placement of the optimal control theory. Second, in order to realize the observation for the unknown vari ables, stable state observers were designed based on the equivalent principle of sliding mode variable structure.

该方案在采用 Lagrange 函数建立状态空间方程的基础上，利用能量控制策略实现自动起摆；采用最优控制理论中的极点配置法设计倒立摆系统的控制器；同时利用滑模变结构的等值原理设计观测器，实现对系统未知状态变量的观测。

By means of scientifically determining the membership function of each factor and establishing the weight of each factor by constructing the judging matrix through binary taxis, the optimal one was selected from nine schemes made up of different combination of room structural parameters, which could ensure not only safety production but also better economic profit.

通过合理确定评价指标的隶属度函数和利用二元排序法构造判断矩阵确定各评价指标的权重，对9种方案进行了综合评判，确定了最优方案，选出了合理的矿房结构参数，既可保证矿山的安全生产，又可保证矿山经济效益。

A hybrid ANN-Lagrangian relaxation approach for generating unit commitment , and for the disadvantages of BP algorithm, a new conjugate gradient algorithm without line searches is used to speed up convergemce.

混合ANN和Lagrange松弛法用于解机组最优投入问题，并针对BP算法不足，利用一种不用精确搜索的共扼梯度训练算法，加速了网络的收敛。

A detailed calculation on the scattering of a conduct disk is given by means of Incremental Length Diffraction Coefficient method and Phyzical Optics method. The relation between Radar cross section of the conduct disk and the incident angle and the relation between the optimal polarization and the incident angle are investgated and the calculation results from ILDC and that from PO are compared.

用微分边缘绕射系数法和物理光学法对金属圆盘的散射作了详细地分析计算，讨论了其极化散射特性给出了雷达截面积随角度的变化曲线并与用物理光学法计算的结果进行了对比，同时还给出了其最优极化随角度变化时的分布图。

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

Taking the process of grooving as an example, the optimal solution is worked out with objective simplex method. The degree of approximation between every objective function and given corresponding target value is observed.

以切槽车刀的车削为实例，采用目标单纯形法求得其最优解，确定了每一个目标函数与事先给定的对应目标值的逼近程度。

A deterministic algorithm for global optimization is presented.

提出了一种求解全局最优化问题的确定性算法，它属于求解带有给定精度的全局最优解的覆盖法。

A deterministic algorithm for global optimization is presented.The algorithm is one of covering methods which find the global minimum with required degree of accuracy.

提出了一种求解全局最优化问题的确定性算法，它属于求解带有给定精度的全局最优解的覆盖法。

The model was derived by using the geometrical relation and Newton theory, and the validity of the model was demonstrated by experimental results. DFP method was used to calculate the optimal control input.

利用空间几何关系及牛顿力学原理建立数学模型，经实验结果与仿真结果的比较验证模型的精确性，并利用DFP法进行最优控制量的计算。

Mixed Discrete Complex Programming is a mature optimization recently . It is suitable for the questions containing discrete variable .But, its' astringency is slow and easy to be trapped in the partial solution .

离散变量复合型法是当前比较成熟的管道优化算法，适用于求解含离散变量的优化问题，但存在收敛速度缓慢、易陷入局部最优解的缺点。

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。