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On the condition that nonlinear function are bounded. By using the linear matrix inequality, a sufficient condition of the output feedback stability about the nonlinear uncertain systems with time-delay is obtained and then the design method of its robust stability is also given in it.

在非线性不确定性满足增益有界条件下，利用线性矩阵不等式方法给出了鲁棒镇定律的存在条件及镇定律存在时相对应的控制器设计方法。

On condition that the nonlinear uncertain function is bounded, based on state observer and controller, we derive a sufficient condition for robust stability independent of delay by the Lyapunov functional theory.

在非线性不确定性满足有界条件下，通过构造增广系统，利用Lyapunov稳定性理论，给出了该不确定性系统基于观测器的鲁棒镇定的充分条件，并给出了相应的状态观测器和鲁棒控制器。

Firstly, we get the necessary and sufficient conditions for Toeplitz operators that commutes with another such operator whose symbol is a monomial, meanwhile, we completely characterize when the mellin transform of the bounded function on the interval 0,1 is a rational function.

首先得到了以有界函数为符号的Toeplitz算子和以单项式函数为符号的Toeplitz算子可交换的充要条件，同时给出了0，1区间上的有界函数的Mellin变换为有理函数的充要条件。

From [1], Every transition function is a positive strongly continuous semigroup of contractions on l\, but it isnt a strongly continuous semigroup on l_∞- In fact, the sufficient and necessary condition for a transition function to be a strongly continuous semigroup on l_∞ is that the q—matrix Q is an uniformly bounded q—matrix on l_∞- This is the trivial case.

由Anderson[1]知道转移函数P是l_1空间上正的强连续压缩半群，但P一般来说不是l_∞空间上的强连续半群，而P是l_∞上强连续半群的充要条件是q—矩阵Q是l_∞。

Based on the delta operator bounded real lemma, sufficient condition with an H〓 norm bound on closed loop uncertain systems and state feedback design are provided.

基于Delta算子的界实引理，给出了闭环不确定系统具有H〓范数界的充分条件及状态反馈设计方法。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

We obtain some sufficient conditions which ensure the boundedness and global attractivity of the systems.

得到了系统有界性和零解的全局吸引性的充分条件。

And the sufficient conditions for uniform boundedness and uniform ultimate boundedness are obtained respectively.

分别得到了一致有界和一致最终有界的充分条件。

Sufficient conditions for boundedness and attracting set of the equations are obtained.

特别地，当系统有平衡点时，获得了平衡点全局渐近稳定的充分条件。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！