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On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上,我们分析了非线性系统受控性质中的几个重要问题,所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理;ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法;利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件,得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理;iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法,初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

We are seeing coyote fees go up to$1,500 to$2,500 per person.

我们正看到人均费用涨到了1500美金到2500美金。

If you want to crescendo into it, feel free to summarize why it is your technology is life changing, but finish with the ask --"we are looking to raise six million dollars."

如果想要把你的陈述推到高潮的话,你就可以概括地说出你的技术能改变人们的生活的理由,但到了结尾时还是要提出这个要求—我们想要筹集6百万美元资金。

We are already seeing this problem―adding human growth hormone genes to pigs certainly makes them grow―but it also gives them arthritis and makes them cross-eyed, which was entirely unpredictable.

我们已经觉察到了问题的出现——把人的生长素基因转移到猪身上当然会促进猪的生长——但也会使他们得关节炎和斗鸡眼,这些是完全曾预料到的。

In desultory fashion, we discussed the weather and the economy until someone raised the subject of socks.

席间我们随意闲谈,聊到天气和经济,后来有人谈到了袜子。

"We see lots of clouds during the summer in the southern hemisphere, and this summer weather seems to last into the early fall," Cassini researcher Sebastien Rodriguez, of the University of Paris Diderot, said in a statement.

" 整个夏季我们看到很多的云漂浮在南半球上,这个夏季的天气似乎延续到了早秋"来自巴黎狄德罗大学的卡西尼研究者Sebastien Rodriguez在一份声明中说到。

With the coach, there is no danger. Having heard of this, I felt nothing to be scared of. When I got to the diving place, the coach dressed me with a tight diving suit and equipped me with a heavy oxygen cylinder.

听完这话,我感到也没有什么好怕的了,到了潜水的地方,教练为我换上了那紧身的潜水服,还有那厚重的氧气瓶,并教了我一些手势后,我们就开始下水了。

Our money dwindle away to nothing even though we came here just not to one week.

我们到这儿还不到一个星期,就花光了所有的钱。

Last year, when our older son was not quite 2, my birthday went by without much fanfare.

去年,我们大儿子还不到2岁,我的生日无声无息地快要到了。

With the drop in tourism, hotels and restaurants are beginning to feel the pinch.

这是一个物价很贵的城市。我们到这儿还不到一个星期,就花光了所有的钱。

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