查询词典 optimal normal form

Under some proper conditions we prove the existence of optimal controls in the class of Lipschitz functions, and obtain an optimality condition looks somehow like Pontryagin's maximum principle for a smooth optimal control function.

在适当的假设条件下，我们证明了状态方程解的存在唯一性和最优控制的存在性；并且根据最有控制函数的光滑性进一步对最优化存在的必要条件进行分析。

Afterward, we analyze four possible paths using Pontryagin 's maximum principle, We obtain optimal control rules of two advertising expenditure and the long-run optimal equilibrium solution of this model.

然后，利用庞特里亚金最大值原理对四种可行路径进行分析，分别得出了两种广告支出的最优控制规律与该模型的长期最优均衡解，并研究了长期最优均衡解的渐近性态。

The model of programmed crystallization of SPM was proposed based on the moment transformation of the population considering the agglomeration. The optimal temperature-time curves in a batch crystallizer which maximized the terminal mean size and mean weight size can be determined from the application of the Pontryagin Maximum Principle. The calculated crystallization results heating under optimal temperature were compared with ones under linear or natural heating temperature.

根据第四章所得到的螺旋霉素晶体二次成核和晶体生长和布朗扩散引起的聚集动力学，利用第六章所描述的晶体尺寸分布的各阶矩对时间的一阶导数所构成的自封闭的一阶常微分方程组，采用庞得里亚金极大值原理，以温度为控制变量，在满足某些约束条件下，以最大平均尺寸和最大晶体重量平均尺寸为性能指标，计算出了螺旋霉素间歇结晶的最优温度—时间曲线，并同线性加热和自然方式进行了比较。

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithm Aimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

Based on a great many literature, this paper analyzes and summarizes the genetic algorithm for the design of structural optimization. The basic conceptions and primary characteristics are introduced in this paper. This paper discuss some primary factor when genetic algorithm applied on optimal design, for example the mathematical model、the constrained problem、the initial population and the controls parameter of genetic algorithmAimed at the characteristic of structural optimization and finite-element analysis, this paper accomplishes the optimal program based on the simple genetic algorithm.

在广泛阅读文献和调研的基础上，本文对遗传算法及其在结构优化设计应用中的相关内容进行了分析和综合，对结构优化设计的基本概念、主要特点进行了介绍，对遗传算法应用于结构优化设计时的数学建模、约束条件处理、初始种群的产生及其遗传算法控制参数的选择几个关键因素作了概要的分析与研究。

By means of the semigroup theory, spectrum theory, positive cone theory, integrated equation theory and optimal control theory, we obtain the existence of thresholds of these models, the existence and stability of the infection- free equilibrium and the endemic steady state, and the existence of optimal vaccination strategies, etc.

运用泛函分析中的半群理论、谱理论、正锥理论以及积分方程理论和最优控制理论，系统地研究了这些模型的阈值的存在性，无病平衡态和地方病平衡态的存在性和稳定性，最优接种疫苗策略的存在性等。

In the solution process the initialization two populations, separately will select the different overlapping variation probability, after each time will iterate the sufficiency high individual carries on the first populations in sufficiency low individual with the second population in the exchange, and will preserve each center group the optimal solution to the outstanding person population, by will solve the tradition genetic algorithms to be easy to appear precociously, will be easy to fall into the partial optimal solution question.

即在求解过程中将初始化两个种群，分别选取不同的交叉变异概率，在每一次迭代完后将第一个种群之中的适应度较低的个体与第二个种群中适应度较高的个体进行交换，并且保存每个种群的最优解到精英种群，以解决传统遗传算法容易出现早熟，容易陷入局部最优解的问题。

In the solution process the initialization two populations, separately will select the different overlapping variation probability, after each time will iterate the sufficiency high individual carries on the first population's in sufficiency low individual with the second population in the exchange, and will preserve each center group the optimal solution to the outstanding person population, by will solve the tradition genetic algorithms to be easy to appear precociously, will be easy to fall into the partial optimal solution question.

即在求解过程中将初始化两个种群，分别选取不同的交叉变异概率，在每一次迭代完后将第一个种群之中的适应度较低的个体与第二个种群中适应度较高的个体进行交换，并且保存每个种群的最优解到精英种群，以解决传统遗传算法容易出现早熟，容易陷入局部最优解的问题。

In this paper the structure optimal design of the pressure spherical hull in a deep manned submersible is completed with a combined optimal method and this method is based on Response Surface Method and Genetic Algorithm.

本文采用组合优化方法对某深海载人潜水器耐压球壳进行优化，该组合优化方法基于响应面近似模型和遗传算法。

In this paper the structure multi-objective optimal design of the pressure spherical hull in a deep manned submersible is completed with a combined optimal method which is based on Response Surface Method and Genetic Algorithm.

采用基于响应面近似模型和遗传算法对某深海载人潜水器耐压球壳进行多目标优化设计。

It's not quite as simple as that.

并没有那么容易。

It debuted in 1992 in Japan and the United Kingdom, and 1993 in the United States.

它首次亮相于1992年在日本和英国，在美国1993年。