查询词典 sufficient condition

In particular, a sufficient condition for the TSE to be superior over the LSE is given.

据此，导出了两步估计的一些重要统计性质。

The major contributions of this thesis include:(1) proposing a new kind of optimal feedback control, followed by its application to chaos targeting and stabilization of high period unstable periodic orbits ;(2) stabilization of unstable fixed point in chaotic systems using some kind of nonlinear feedback control, and giving sufficient condition for the existence of the controller as well as the synthesis procedure;(3) analyzing the robustness of optimal control in chaotic Lur'e systems under the help of H〓 control theory;(4) finally and most importantly, introducing a novel method of information storage based on discrete time chaotic systems as the application of chaos control, and systematically studying different schemata for implementation, providing a theoretic basis for the design of such new kind of information storage devices with large capacity.

本文的主要工作包括，提出一种新的最优反馈控制，并将之应用于混沌引导控制及混沌系统高周期不稳定周期轨道的镇定控制；针对不动点镇定控制的一类非线性反馈控制器，文中给出该类反馈控制存在的充分条件及设计步骤；文中还利用非线性H〓鲁棒控制理论对Lur'e混沌系统中的最优线性反馈控制进行鲁棒性分析；最后，也是最重要的，作为混沌控制的应用，文中提出一种基于离散时间混沌系统的信息存储方法，系统地分析、研究了实现这种信息存储的不同方案，为以后进行这种新型大容量存储器设计提供了一定的理论依据。

Supposeis two-dimension random variable, is unity density function and marginal density function leave each other, then sufficient and necessary condition for independence of and is: for all real values ,there are .

Theorem 3.3 设是二维连续型随机变量，分别是联合密度函数与边缘密度函数，则相互独立的充要条件是：对任意的实数，都有。

This paper uses contraction mapping approach in order to give sufficient condition for solvability about this kind of matrix equation in given conditions.

文章利用压缩映射思想给出了一类矩阵方程在给定条件下有解的充分条件。

In this paper, we'll give a necessary and sufficient condition for the existence of the weighted Moore-Penrose inverse of a matrix over a ring and generalize it on a semiring.

本文给出一般含幺环上矩阵加权Moore-Penrose逆存在的充要条件，并将其推广到一般半环上。

In this paper, well give a necessary and sufficient condition for the existence of the weighted Moore-Penrose inverse of a matrix over a ring and generalize it on a semiring.

本文给出一般含幺环上矩阵加权Moore-Penrose逆存在的充要条件，并将其推广到一般半环上。

A necessary and sufficient condition about the reducibility of central essential hyperplane arrangements is given:a central essential arrangement is irreducible if and only if the matroid is connected.

具体地，本文将对每一个超平面构形，构造一个拟阵，证明中心本质构形不可约的充分必要条件是对应的拟阵是连通的。

In the chapter 3,we base on the existence of periodic solution ,using the method of linearization and applying the mean value theorem and the variation-of-constants formula, we get the sufficient condition of the exponential stability of periodic solution of a class of nonlinear functional differential system .

在第三章中，建立在系统周期解存在的基础上，利用线性化的方法，根据微分中值定理和常量变差公式，得到了一类非线性泛函微分系统周期解指数稳定的充分条件。

The sufficient and necessary condition for holding the control system robust stability was analyzed in the presence of the process multiplicative uncertainties.

同时，对于实际生产过程中常见的被控过程乘性不确定性，分析了系统保持鲁棒稳定的充要条件。

Furthermore, it is proved that, under the sufficient condition, the multistep Runge-Kutta method is GP d-stable if and only if it is A-stable.

在文献 [2 ]中，Bellen等考虑了中立型延迟微分方程解析解及单步Runge -Kutta方法的渐近稳定性。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。