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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。

An instantaneous optimal semi-active control method is put forward. Combined sliding mode control with lyapunov's stability theory, the control weights matrix, which can minimize structural instantaneous energy, is designed. Simulation and shaking table test is conducted to validated the method's effectiveness. To solve combination explosion of controlled structural state encountered in high-rise building control, the semi-active control strategy, which can drive structural state point to reach the sliding mode switching band, is designed by using sliding mode control theory, and genetic algorithm is used to find the optimal semi-active switching to drive the structural state point to sliding mode switching band at prestissimo speed.

提出了一种瞬时最优半主动结构控制方法,利用滑模变结构控制理论和Lyapunov稳定性理论设计使结构瞬时能量最小的半主动控制权矩阵,仿真实例和振动台试验验证了本文所提方法的有效性和实用性;为解决在高层建筑半主动控制中半主动控制器状态组合爆炸的问题,利用滑模变结构控制理论设计在Lapunov稳定意义下使结构在运动状态空间中任一相点于以最快速率到达滑模切换带的半主动控制策略,并用遗传算法找出了最快到达滑模切换带的半主动控制切换组合。

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My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了,他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

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