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Using tools in nonlinear H∞-control theory, it is shown that under mild conditions, the resulting closed loop system is locally asymptotically stable.

利用非线性H∞-控制一个基本结果证明了在较弱的条件下，所得到的闭环系统是局部渐近稳定的。

The fuzzy controller guarantees that the closed-loop system is asymptotically stable for all admissible uncertainties.

所得控制器对于所有容许的参数不确定性都能保证闭环系统渐近稳定。

This dissertation is mainly about the scalar field in curved black hole spacetime backgrounds assumed to be asymptotic de Sitter space at infinity.

本文的主要内容是关于黑洞视界外部时空中的标量场，我们选择的黑洞时空在无穷远处是渐近de Sitter时空。

Asymptotic behavior of mathematical ecological models is an important conception with rich connotation,which mainly includes attractability of the solutions,stability,periodicity and oscillation and so on.

数学生态模型解的渐近行为是一个具有丰富内涵的重要概念，其主要包括解的吸引性、稳定性、振动性与周期性等内容。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacker-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

In this thesis, we describe some important properties of the dynamic behaviors of several class of time-discrete models of two neurons, which includes stability, asymptotic stability, the existence and attractability of periodic solutions, Flip-bifurcation and Neimark-Sacher-bifurcation.

本学位论文对几类二元离散神经网络模型的动力学性态进行了定性分析，讨论了这些神经网络模型的稳定性、渐近稳定性、周期解的存在吸引性、Flip-分岔和Neimark-Sacker-分岔，全文共分五章。

Therefore,in this thesis, by using of the Lyapunov function ,Lasalles in-variance principle and the analytical technique to construct return mappings[34-36],we describe some important properties of the dynamic behaviors of two class of discrete-time model of two-cell cellular neural networks ,which includes stability,asymptotic stability,the existence and attractability of periodic solutions.

因此，本学位论文利用Lyapunov函数和Lasalle不变集原理以及利用分析技巧构造回复映射等方法对两类二元离散细胞神经网络模型的动力学性态进行定性分析，讨论了这些模型的稳定性、渐近稳定性、周期解的存在吸引性，全文共分三章。

Some useful notations and definitions are give in this chapter.In Chapter 2,a class of discrete-time model of two-cell cellular neural networks with symmetric temptate are investigated. We obtain some results about the stability,asymptotic stability,the existence and attractability of 2-periodic solutions.

第三章讨论了反馈矩阵为非对称矩阵的二元离散细胞神经网络模型的稳定性与渐近稳定性、周期解的存在吸引性，除了得到系统稳定和存在2-周期解的相关结果外，还得到了系统在原点出现类似于Hopf分支的局部分支以及多个吸引4k-周期解的共同存在性。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.

利用增广Lyapunov泛函并结合自由权矩阵方法，得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。