查询词典 sufficient condition

Without using Lie derivative and Lie bracket operation of differential geometry , we only use the algebra method to give a sufficient condition of single input exact feedback linearizable bilinear systems.

摘 要 研究了单输入的双线性系统的精确线性化及其鲁棒控制器设计问题，避免了用微分几何的李导数、李括号的复杂运算，只用纯代数的方法给出了一般单输入双线性系统精确线性化的充分条件。

This results in analytical expressions for the sufficient condition of system stability, calculating time and circuit parameter.

系统地分析了〓模型的工作特性，从系统稳定理论证明了该电路的稳定性，同时也从电路的角度，用解析的方法分析了运放有限增益，输入电容对电路的动态性能、运算精度的影响，得出了系统稳定的充分条件和计算时间与电路参数的解析表达式。

In this paper, by virtue of some relevant results of Fourier Analysis and Cauchy Inequality, we begin with working on the necessary and sufficient condition for the existence of the periodic solution to a kind of compound-type linear periodical system with constant coefficients and periodical force term f.

高存臣 ，唐瑞娜，阎庆旭本文首先利用Fourier分析的有关结论和Cauchy不等式，对一类具有滞后与超前偏差变元的n阶常系数混合型线性周期系统周期解存在唯一性的充要条件进行了讨论。

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real part.

因此，系统稳定的一个必要充分条件是特性方程的根有负的实部。

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real parts.

所以，系统稳定的一个充要条件为：系统的特征根具有负实部。

A sufficient condition that characteristic exponent can be assigned arbitrarily for linear periodic system is also attained in the paper.

文章还给出了一个线性周期系统特征指数可以任意配置的充分条件。

A sufficient condition for quadratic stability of fuzzy closed loop system is given in terms of linear matrix inequalities.

但是对于实际中广泛存在的非线性离散系统的保成本控制问题还没有得到充分的研究。

We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子，设H是有限维双代数， T= H⊕H*既有代数结构也有余代数结构，研究T的性质，给出了T成为BiFrobenius代数的充要条件，即定理3.9。

Using an aggregation matrix with full column rank to map the on-line optimization variable sequence into a new one, the number of on-line optimization variables is cut down without reducing the control horizon. A sufficient condition is presented to check whether the control variable sequence can be aggregated.

通过一个列满秩的集结矩阵将维数较小的控制变量序列映射成在线优化变量序列，在不缩短控制时域的情况下，降低了在线优化变量的个数。

We establish a relation between μ and the stucture of the group G, and obtain the lower bound of the ratio by the mininal prime divisor of the order and commutator of the group G, and give a necessary and sufficient condition under which this lower bound is attained.

第一部分，记有限群G的阶与不可约特征标个数的比值为μ，我们研究了一般的非交换有限群G的结构和μ之间的关系，通过群G的阶的最小素因子和换位子群G′的最小素因子得到了μ的一个下界，同时给出了达到下界的一个充分必要条件。

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。