优

Topology optimization aims at finding the optimal distribution of materials in a prescribed design domain and the optimal way of component connection in a discrete structure.

所谓拓扑优化，就是要在给定的约束条件下，在一块预先给定的设计区域中决定最优的材料分布方式或者构件之间的最优连接关系。

It takesthe weighted average of the L2 norm of the difference of the observation and thesolution of the system and the L2 norm of the difference of conormal derivativeat the different sides of the interface for every subdomain as cost functional andthe smooth coefficients of the subproblem and the value of solution of the originalproblem at interface as identification parameters;Using the property of continu-ous functional defined on compact set,the existence of the optimal solution of theidentification problem is proved;The necessary conditions of optimality charac-terized by the system equation,the adjoit equation and the variational inequalitysimultaneously are given by introducing the conception ofdifferential andadjoit variable;An algorithm is devised and its flow graph is given.

其次，针对分片光滑动力系统的特征，结合正演过程的区域分解算法，建立了分片光滑系统的分解区域参数辨识模型，该模型以子区域上解的实测值与计算值之差的L2范数和界面两侧的通量差的L2范数的加权平均作目标泛函，各子问题的光滑系数及界面上真解的值为待辨识参量；利用紧致集上连续泛函的性质，证明了子区域上参数辨识问题最优辨识参量的存在性；引入微分的概念，借助伴随变量，给出了由系统方程，伴随方程和变分不等式共同表征的最优性必要条件；根据此必要条件设计了算法，给出了算法的程序框图。

The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章，内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题，以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

Two strategies, optimizing hill- climbing and large- scale gene mutation, are used to overcome the disadvantages of the primary hybrid algorithm, which easily converg to local optima.

用遗传与模拟退火相结合的混合算法对信道分配问题进行研究，并通过加入"寻优式爬山"与大规模基因突变两种优化方法对混合算法进行改进，克服了一般遗传算法收敛速度慢以及易于陷入局部最优解的缺点。

The essence of EGA's global convergence and its behavior characteristics are analyzed. Two kinds of realization methods of EGA are studied and convergence analysis of them is carried out.

首次给出了最优保留及最优保留GA的规范化定义，分析了EGA全局收敛的本质及表现特征。

To overcome the premature of simple genetic algorithm, the calculating efficiency of SGA is improved by the following two ways; Firstly, in order to ensure convergence of algorithm and reduce influence factor of convergence, elitist selection and adapted crossover and mutation operator are adopted. Secondly, because this study deals with finding minimize volume of structure, to quicken convergence of this problem, in line with mechanics criterion the paper carry out mutation to some genes in chromosome according to variations of internal force. This will let algorithms to search answer with our hoping directions.

针对基本遗传算法存在早熟的问题，本文主要从两个方面进行了改进，首先为了保证算法的收敛和减少影响算法收敛因素，采用了最优保护策略和自适应的交叉和变异算子；其次，由于本文研究内容涉及求结构最小体积问题，为了加快此类问题的收敛速度，本文结合结构优化中的力学准则，对个体染色体中的某一段基因按照内力变化进行变异操作，使得算法按一定方向进行搜索最优解。

This algorithm is proposed on the basis of the thought as follovvs: as for three dimensional Euclid space, the feasible region of any linear programming problem is a extended convex polyhedron, of which surface is consisted of some planes, and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter.

如果线性规划问题有最优解，那么过可行域的一已知顶点必至少存在这样一条棱——它以该己知顶点为一端点，可行域的另一顶点为另一端点，并使目标函数在另一端点的函数值优于己知端点的函数值，否则，该己知点就是线性规划问题的最优解。

In addition,the authors propose that for a multi peaked one dimensional search problem its optimum solution can be obtained by ordinary optimization methods only when the convexity or concavity of the objective function matches the step length determining the one dimensional search region and the method of finding the optimum step length factor.

另外 ，还提出了对于多峰一维搜索问题，只有当所求函数的凹凸性与确定一维搜索区问题的步长以及求解最优步长因子的方法匹配时，才能用一般方法得到搜索区间内的最优解

Secondly,we can use the theory frame of cooperative game to figure out the method of optimal equity structure design and the optimal value theoreticly.

二、能够借助合作博弈理论的分析框架寻找到上市公司股权制衡的最优股权结构设计的方法和理论最优值。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables, and the state and costate variables inside the time interval were approximated by Lagrange interpolation. Nonlinear optimal control problems were replaced by nonlinear equations through dual variable principle, and the symplectic algorithm for solving nonlinear optimal control problems can be obtained at the same time.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。