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Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

In the second chapter, we study the mixed finite element method of Oldroyd B type viscoelastic fluid flow model, and we give the existence and uniqueness of approximation solution and error bounded.

第二章讨论用混合有限元方法去研究Oldroyd B型流体流动问题的解的存在唯一性，并给出了逼近解的误差估计。

It is shown that the closed-loop system is globally uniformly ultimately bounded with respect to a compact set around the origin. This set can be made arbitrarily small by increasing the gradient of the saturation function.

其结果表明，闭环系统关于原点的一个紧集是整体一致最终有界的，并且该紧集可以由增加饱和函数的斜率而做得任意小。

It was proved that the proposed control scheme guarantees that all the variables in the closed-loop system are bounded and the mean-square tracking error can be made arbitrarily small by choosing some design parameters appropriately.

理论证明，所提方法保证闭环系统的所有信号一致有界，且通过选择适当的设计参数，可使跟踪误差任意的小。

By choosing suitable design parameters, all the signals in the resulting closed-loop system are uniformly bounded and the norm of the tracking error vector converges to an arbitrarily small neighborhood around zero by using the presented control approach.

通过选择适当的设计参数，提出的控制方法使得闭环系统的所有信号是一致有界的和跟踪误差向量的范数收敛到小的零邻域内。

Moreover, the mean-square tracking error can be made arbitrarily small by choosing some design parameters appropriately. Even with unmodeled dynamics and bounded disturbances presented the controller has good robust performance without need of correct dynamic model and parameter estimation.

并且这种控制器的设计不需要有精确的系统动态模型，不需要未知参数来满足线性依赖条件，不需要具体的系统参数估计，即使存在未建模动态和有界扰动，系统仍然具有很好的鲁棒性。

A plane figure bounded by two radii and the included arc of a circle.

由两个半径和两个半径中间的弧所形成的一个平面形状。

The detailed and thorough analyses of the four images of protagonists are carried out in the second section. They are respectivelyCarol in Main Street, a brave young bride who faces the cultural conflicts with enthusiasm of reformation, and whose dream is still alive waving despite the final return to the parochial Gopher Prairie; Babbitt in Babbitt, the typical "TBM", who is in nature a conformist and doomed to be bounded but tries to escape and finds only failure; Arrowsmith in Arrowsmith, a young medical scientist with grand dream and determination in truth-seeking; and Dodsworth in Dodsworth, a rich, generous, considerate, diligent and down-to-earth car producer.

然后详尽阐述各个人物形象的特点，依次是《大街》中的卡络，一个面对文化冲突勇敢应对，力求革新，虽重新回到狭隘闭塞的小镇，但仍怀有梦想的年轻女性；《巴壁德》中的巴壁德，一个虚伪固执，注定无法摆脱自身局限，却一定要尝试并以彻底的失败告终的房地产掮客；《亚罗史密斯》中的亚罗史密斯，一个怀有梦想并为之终身追求的最具英雄气质的年轻医生；及《道茨沃斯》中的道茨沃斯，一个富有，宽容，体贴，勤奋，脚踏实地，热爱生活的汽车生产商。

It can be bounded or unbounded. Data is returned in the ascending order of index columns.

扫描区间可以是封闭的，也可以是不封闭的。

In Chapter 4 we study the asymptotic behavior of solution for the weakly dampednonlinear Schrodinger equation in a bounded domain 〓.

第五章研究具有几乎周期外力的非自治Ginzburg-Landau方程的吸引子及其维数。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。