解集

Therefore,in this thesis, by using of the Lyapunov function ,Lasalles in-variance principle and the analytical technique to construct return mappings[34-36],we describe some important properties of the dynamic behaviors of two class of discrete-time model of two-cell cellular neural networks ,which includes stability,asymptotic stability,the existence and attractability of periodic solutions.

因此，本学位论文利用Lyapunov函数和Lasalle不变集原理以及利用分析技巧构造回复映射等方法对两类二元离散细胞神经网络模型的动力学性态进行定性分析，讨论了这些模型的稳定性、渐近稳定性、周期解的存在吸引性，全文共分三章。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Keywords Biomedical imaging;The class of Special functions of Bounded Variation;Level set methods;Mumford–Shah functional;Minimal partition problem;Diagnostics of glaucoma diseases;Segmentation and measurement

生物医学图像处理；特殊有界变差函数空间理论；水平集方法； Mumford-Shah泛函模型；最小分割问题；青光眼诊断；视乳头图像分割与度量；卫星雷达干涉图相位解缠

Second, On the basis of analysis of density distribution of sequence points on the chaotic orbit of one-dimension chaotic mapping, a mutative interval chaotic optimization algorithm is presented in search for the solution optimums of the non-linear constrained problems with multi-variables and multi-peak values. With the objective function probability measurement approaching a limit 1, the convergence of the algorithm on the global optimal solution is proofed by aid of Chebyshev inequality.

二、基于一维混沌映射混沌点集的概率测度分析，提出了一种适于解决多变量多峰值非线性约束问题的新的混沌优化算法——变区间混沌优化算法，并应用切比雪夫不等式论证了算法依概率收敛于全局最优解。

By transforming the nonlinear saturation constraint into the special linear constraint, the problem of solving the feedback controller with saturated actuator is converted to the design of controller with linear constraint. The stochastic stability is ensured by using the intersection of ellipsoid invariant set of different modes existing in the attraction domain of the closed loop system. In this case, solving controllers can be equivalent to a solvability problem of linear matrix inequalities.

通过将非线性饱和约束转化为特殊的线性约束，使具有饱和执行器的控制器求解问题转化为线性约束控制器的求解问题，利用位于闭环系统吸引域内的不同模态下椭圆不变集的交集来保证系统的随机稳定性，此时控制器的求解可等效为线性矩阵不等式的可解性问题。

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。

This paper introduced and discussed TSs main principles and some correlative basic concepts, did many simulative experiments, verified the feasibility and correctness of the above job, and obtained some corresponding results:(1) Taking TSP as an example, proposed some constructive advices for the initialing solutions algorithms based on the problem size and application acquirements. Proposed a novel adaptive intensification and diversification strategy for solving the conflict between intensification searching and diversification searching.

论文论述了TS的基本思想，并通过大量仿真实验证实了上述工作的正确性，取得了如下几方面的研究成果：＊）以 TSP为例，根据问题规模和应用要求，对初始解生成算法的选择提出了建设性的意见；提出了一种自适应的集中性与多样性搜索策略，较好地解决了集中性搜索和多样性搜索之间的矛盾。

The LSSVM (Least Square Support Vector Machines) was proposed to construct multi-objective optimization model for CWM concentration and ball mill electric current. MODE (multi-objective differential evolution) based on Pareto optimal concept is used to perform a search for determining the optimum solutions, from which the optimum adjustment mode that could heighten concentration and production benefit of CWM is obtained based on fuzzy theory.

利用最小二乘支持向量机对球磨机电流和水煤浆浓度进行多目标建模，并采用基于Pareto最优概念的多目标微分进化算法，对运行工况进行寻优，然后根据模糊集理论在Pareto解集中求得满意解，获得水煤浆浓度的优化调整方式和提高水煤浆生产效益的策略，用以指导水煤浆优化生产。

By rescaling the system,we obtain the Lorenz-Stenflo system with slow variation of the flow rotation. Based on Routh-Hurwitz criteria,the stabilities of the equilibria are analyzed and the bifurcation sets are sought to divide the parameter plane into different regions,corresponding to different types of the solutions.

通过对系统的重新标度，得到了气流旋转缓慢变化时的Lorenz-Stenflo系统；基于Routh-Hurwitz准则，分析了平衡点的稳定性问题，得到了参数平面上的分岔集，这些分岔集将参数平面划分为不同的区域，在各个不同的区域对应于系统不同的解。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失