极小条件

The results show that the response of control is quick, and no over-control, the error can be negligible, and the design is simple. The interpolative control based on cubic spline interpolation function also can be used for sparse rules base, which has few knowledge of expert.

仿真结果表明，基于三次样条函数的插值控制，具有响应快，无超调，稳态误差极小等优点，并且设计简单，不需要过多专家经验就可以完成很好的控制，适用于稀疏规则库条件下的控制。

If every minimal p-subgroup of G is containedin Z, every cyclic subgroup of order 4 of G is conditional c-normal in G, then G isp-nilpotent.Theorem 2.3.9 Let p be a fixed prime.

定理2.3.9对某个固定的素数p，设G的每个极小p-子群包含于Z，4阶循环子群在G中条件c-正规，则G是p-幂零的。

From the strength of the cylinder in the platen press ,the relations between the allowable stress of material to make the cylinder and the hydraulic pressure are derived when the outer diameter of the cylinder is the minimal value.

根据平板硫化机液压缸圆筒部分的强度条件，推导出液压缸外径为极小值时，液压缸材料的许用应力与工作液压力之间的关系，从而为平板硫化机的优化设计提供了最佳工作液压力值。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

Second, based on binary search, an efficient algorithm is proposed for finding aset of elementary siphons given a set of strict minimal siphons of a Petri net.

第二，在已知Petri网中部分或全部严格极小信标的条件下，提出了一种基于二分法原理确定一组基本信标的快速算法。

The essential prerequisite for convergence of any optimization algorithm is that the objective function to be solved has only one minimum in its definition domain, that is, it is a single valley one.

而各种最优化算法收敛的前提条件是所要搜索的目标函数在其定义域上只有一个极小值，即目标函数是单谷函数。

An optimal control law is obtained by minimizing the average performance through spectral factorization and a practical control method for integrator and dead time plant is presented in the presence of plant uncertainty and control energy constraint.

首先基于一类随机模型误差的描述，定义了一个平均意义上的包含跟踪误差和控制能量在内的性能指标；然后通过谱分解极小化该性能指标，导出一个最优的控制律，从而为模型不确定性和控制能量约束并存条件下一类非自衡对象的最优控制问题提供了一种实用的控制方法。

Using Landauer-Buttiker formulism the analytical expressions for the electronic transmission probability as a function of incident electron energy and geometry parameters are obtained, with which the conditions for interference maximum and minimum of electron wave are indicated analytically and verified numerically.

用Landauer-Büttiker公式解析地计算出了两种情况下系统电子透射率作为入射电子能量和系统几何参数的函数表达式，从而分析得出了由于量子干涉产生透射极大与极小值时入射能量与几何参数所满足的条件关系并得到了数值验证。

It is proved that if a homeomorphism f on a compact metric space with the POTP is distal homeomorphism, then f does not have the average shadowing property.

证明了紧致度量空间中有伪轨跟踪的distal同胚不具有平均跟踪性，并给出了有平均跟踪性的同胚是极小的一个充分条件。

It is a kind of itertive regularization method,and has the function adjusting regularization parameters automatically,so it overcomes the difficulties when solving the regularization parameters.

因此，对于这样的反问题，最后都可归结为极小化某些刻画问题的地质特征的测量值与理论计算值的误差平方和的函数的优化问题，约束条件为x≥0。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。