最小化

An integral square performance criterion containing tracking error and control energy was defined. Spectral factorization to minimizing the performance index for different systems was applied and corresponding parameter tuning methods of PID controller was derived, which could be used to obtain optimal control performance under control energy constraint.

定义了一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同系统运用谱分解的方法最小化该性能指标，从而导出相应的PID控制器的参数整定方法，可使系统在控制能量约束条件下具有最优的控制性能。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

Thisproblem is changed into the matrix approximation problem with matrix inequalities.Further, it is changed into the generalized eigenvalue problem with linear matrix in-equalities. In addition linear state feedback controller is designed.

先将最优控制问题转化为具有矩阵不等式约束的矩阵逼近问题，又转化为具有线性矩阵不等式约束的矩阵广义特征值最小化问题，从而设计了相应系统的线性状态反馈控制器。

The second algorithm uses ring projection to extract feature sequences in image templates, which overpasses the local area limit in tradition methods. While blending factors are gained from energy function that contains image gradient, which conquer the blur and mackle problems in the overlap area using tradition linear weight function. Thus we can gain pleasure visual effect using these two methods in image mosaics with notable illumination difference.

基于圆投影和能量函数优化的图像拼接算法则采用圆投影提取图像匹配模板的特征序列，克服了传统图像特征提取方法中的区域局限问题；对于图像融合，论文从图像能量角度出发，构造一个包含图像梯度的能量泛函，通过最小化该函数来求取图像重叠区域的全局最优融合因子，最终实现快速、准确地拼接图像。

Strive hard to reach the sale index and profit indexBut, it is a fatal lacuna for all outlets in controlling inventory level and placing orders that only historical sale and stock figure are provided without the ability to forecast the customers'needs on the basis of historical sale and stock figure by scientific method, and without cost analysis and ability to order on the basis of minimal total cost.

但是"只有历史销售数据和库存数据，缺少对当前库存的成本分析，缺少凭借历史数据预测未来需求和在库存总成本最小化的前提下进行科学订货的能力"是所(来源：Afd9dBC论文网www.abclunwen.com)有大卖场在控制库存和合理订货时的最大缺陷。

The method applies the progressive optimization theory to derive preview control input based on minimalization of performance index of trajectory error area between desired and actual trajectory, the feature of preview control input is that feeback and preview feedforward coefficients are changed in every sampling time.

该方法从目标路径与实际路径之间的面积误差评价函数值最小化观点出发，运用逐次最优化原理来求取最优预见控制输入。

In data space, multi-stage anti-aliasing digital filters are designed on the basis of the Nyquist sampling theorem and the minimax criterion to ensure that the observational data are sampled and stored without distortion.

在数存空间内，依据奈奎斯特定理和最大误差最小化的原则，设计多级抗混叠数字滤波器，使实测数据经过滤波器后，达到无失真抽样与存储的目的。

During the minimizing process of variational assimilation, calculation efficiencyis very important and the optimal step size greatly influences the algorithm efficiency.

在变分同化的最小化过程中，计算效率无疑是最重要的，而优化步长的计算又直接关系到算法效率的成败。

According to economic and minimum of transaction cost principle, we must try hard to seek equilibrium of supply among government, market and Non-profit organization and establish diversification of institution arrangement and polycentric system of provision of public goods and public-private rivalship and partnership so as to achieve social optimization of supply of public goods and to meet people's needs and realize public interests.

根据资源优化配置的经济合理性原则和交易成本最小化原则，努力寻求政府、市场和非营利组织在公共物品供给领域的均衡点，构建公共物品提供的政府、市场、非营利组织复合型制度安排与公共物品供给的多中心体制和互补机制；建立政府与市场、政府与非营利组织的竞争——合作伙伴关系，以达到公共物品供给的社会整体最优，满足人们需要、实现公共利益。

The paper presents work principium of hydropneumatic elevating-equilibrium mechanism , and the mathematical model for balance of elevating-equilibrium mechanism was proposed, the design model was solved by using Maximum-minimize Method in MATLAB optimization toolbox and optimum procedure was presented.

对液体气压式高平机的工作原理进行了介绍，建立了高平机的平衡作用数学模型，应用MATLAB优化工具箱中的最大最小化方法对设计模型进行了优化求解，给出了高平机的结构优化程序，计算结果表明该方法是正确和有效的，并且适用于火炮平衡机等类似结构的优化设计中。

On closer examination, though, this is not a vote for multilateralism but just the opposite.

仔细审视后我们发现，这并非是对多边主义投出的赞成票，而是恰好相反。

Uncovering their weak spots, so I can defeat them.

揭露出他们的弱点，这样我就可以打败他们了。