最优法

In the second chapter, the problem of the optimal inputting rate control for a class of competitive population dynamics system with age-structure is discussed. By means of characteristic line, Gronwall Lemma, Bellman Lemma, adjoint system and so on, the Lipschitz continuity properties of the system in terms of the control variable is certificated, and the necessary condition of the optimal control is obtained.

第二章讨论了一类具有年龄结构的竞争种群系统最优输入率控制问题，综合应用特征线法，Gronwall引理，Bellman引理，共轭系统等知识，证明了系统解关于控制变量的Lipschitz连续性，给出了控制为最优的必要条件。

Then the net income guarantee level is adjusted by the compare of the optimum customers' price and bided price.

通过权衡消费者剩余和政府担保的资金成本，在特许权人为风险中性的条件下，由逆向递推法求出使得社会福利最大的消费者付费最优价格，根据中标价格与最优价格的比较进行担保水平的调整确定。

By level function,ε-subdifferential, normal cone and dual function, global optimal solutions for a convex function in locally convex topological vector space and a few of equivalent forms on it are obtained. Maximum points are characterized.

讨论局部凸拓扑向量空间中凸函数的全局最优解，用水平函数、ε-次微分及法向锥和共轭函数等工具刻画其最大值点，得到最优解的几个等价形式。

As the model is a mathematical model of multi-objective optimization on minimizing volume and minimizing tooth width , the method that a multi-objective model transformed into a single-objective model is introduced.

论文阐述了通过最优水平截集法实现模糊优化模型向常规优化模型转化的方法，由于该模型是一个以体积最小和齿宽最小为优的多目标优化设计模型，论文详细讨论了多目标优化模型向单目标优化模型转化。

The forecasting precision with the method of moving average can be improved by the optimalmoving step length n.

为选用移动平均法中最优移动步长n，利用计算机的计算功能，设计了一种较为精确地确定移动平均法中最优移动步长n的方法。

In regarding roof garden as the discussion of the feasibility of TMD, by controlling the accurate optimum minimal error of passive controlling the algorithm, calculate out the optimum feedback control of the system.

在将屋顶花园作为TMD的可行性的探讨中，用被动控制准最优控制算法的最小误差激励法，计算出了系统的准最优反馈控制力。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

Based on the model for FRFS problem,this paper improves the current solution to by combining branch-and-bound algorithm with partan algorithm and by selecting the most optimal schedule.

在 FRFS问题模型的基础上，将分枝定界法与平行切线法相结合，选取最优资源投入量，进而得到最优计划，完善了柔性资源计划问题的解法。

The method is based on a spatial combination mask of the Spectrum-photometric Method(TM2+TM3-(TM4+TM5) index and the Tasseled Cap Wetness index,and removing other objects from the mask image by using maximum likelihood classifier.

方法利用谱间关系(TM2+TM3-(TM4+TM5)和缨帽变换湿度分量TCW建立提取水体的最优空间掩膜，使用最大似然法去除最优空间掩膜中其他的地物信息。

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。