查询词典 necessary condition

Sufficient and necessary condition is given for asymptotic stability and exponential stability of one dimension and multi-dimension.

分别给出一维情形和高维情形系统的渐近稳定和指数稳定的充分必要条件。

In this paper, we discuss asymptotically stable sets of graph maps and give a necessary and sufficient condition for a fixed point of f to be asymptotically stable.

在本文中，我们讨论了图映射的渐近稳定集，并给出了f的不动点为渐近稳定的一个充分必要条件。

Then the eigenvalues of the closed loop system is studied and the necessary and sufficient condition for the closed loop system to be asymptotically stable is derived.

其次，对相应的闭环系统特征方程进行详尽的讨论计算，得到了系统本征值的分布特性，从而利用Lassel 不变原理得到了闭环系统渐近稳定的充分必要条件。

Thispaper proposed a necessary and sufficient condition for the well-posedness and attainability ofthe modified regulator problem. Furthermore, the state corresponding the optimal control has amean-square convergence rate faster than the given rate.

本文研究了一类带稳定度约束的无限时域不定随机LQ问题，给出了问题适定和可达的充要条件，且保证最优控制作用下的闭环系统具有不低于给定的均方收敛速度。

Moreover, by augmenting state vectors, the sufficient and necessary condition of mean square stability is obtained.

此外，通过增广状态向量利用系统的Markov切换特性得到了系统均方稳定的充分必要条件。

Unmarriedness and maleness are each individually necessary conditions for bachelorhood; together, these criteria represent a sufficient condition for bachelorhood.

未婚状态和男人身份，各自是单身汉身份的必要条件；放在一起，这两个条件就是单身汉身份的充分条件。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

The necessary and sufficient condition which fundamental and total biorthogonal system in Banach space Schauder basis are provided.

本文利用BK空间的理论讨论了乘子空间M的性质，给出了Banach空间X上基本完全的双正交系成为Schauder基的充要条件。

Based on the above results, plane strain deformation is considered to be a necessary condition of shear banding.

基于对以上研究结果的讨论，本文认为，剪切带是在平面应变变形条件下当应变硬化率降到很低时发生的。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。