渐近稳定的

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

With the help of comparison theorem, sufficient conditions which guarantee permanence of the system are obtained. For the almost periodic case, by constructing a suitable Liapunov function, we obtained that the system has a unique globally asymptotically stable positive almost periodic solution. Finally, we study a multispecies predator-prey system with stage structure and Holling II type functional response.

第二部分考虑具有阶段结构的非自治扩散捕食系统，利用比较定理得到该系统持久生存的充分条件，其后在概周期情形下通过构造合适的Liapunov函数得到了保证该系统存在唯一一个全局渐近稳定的概周期解的条件。

Aimed at the dynamic characteristics of disparity gradient neural network, it is concluded that the network is globally asymptotically stable.

着重考察视差梯度神经网络的动态性质，用能量函数的方法分析网络的稳定性，得出网络是渐近稳定的结论，并通过实验得到验证。

Then the eigenvalues of the closed loop system is studied and the necessary and sufficient condition for the closed loop system to be asymptotically stable is derived.

其次，对相应的闭环系统特征方程进行详尽的讨论计算，得到了系统本征值的分布特性，从而利用Lassel 不变原理得到了闭环系统渐近稳定的充分必要条件。

The system structure of generalized Lorenz canonical form is reconstructed based on T-S model.

针对广义Lorenz规范式结构，基于T-S模型进行了系统的模糊重构；利用Lyapunov稳定性理论和反馈同步的思想实现了重构系统的同步，并推导了误差系统以衰减率α实现全局渐近稳定的充分条件。

The circulant structure of the circulant matrices provides an effective method for the stability analysis of the switched hypercycle systems.

循环矩阵的循环结构为研究切换超循环系统的稳定性提供了有效的方法，给出切换线性时变超循环系统在任意切换律下渐近稳定的充要条件和切换线性定常超循环系统可切换镇定的充分条件。

In chapter 4, a sufficient condition for stability of time-delay T-S fuzzy systems subject to actuator saturation is first provided, and the problem of estimating the domain of attraction is also formulated.

第四章针对输入受约束的时滞T-S模糊系统，在系统参数确定的情况下，给出系统渐近稳定的充分条件，系统的吸引域的估计问题被转化为一个线性矩阵不等式形式的约束优化问题。

For a class of networked control systems with equality constraint ,this paper addresses the problem of designing controller,sampling period and the maximum allowable delay bound.

针对一类具有等式约束的网络控制系统控制器、采样周期以及最大允许延迟时间的设计问题，采用李亚普诺夫函数、线性矩阵不等式的方法，推导出了该网络控制系统渐近稳定的充分条件。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰，利用一个变换和不等式技巧，将观测器的设计，误差方程的稳定性归结为一个矩阵不等式，给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件，一个例子说明了所提定理的可行性。

Firstly, Receding horizon H〓 control based on state feedback with terminal constraints is proposed for systems with disturbance inputs and parameter perturbations. Linear Fractional Transformation and some existed results on Receding horizon H〓 control for systems without perturbations are introduced.

首先针对同时存在外界输入扰动和自身参数摄动的不确定线性时变系统，利用线性分式变换和现有的一些无摄动系统滚动时域H〓控制的结果，得到了基于状态反馈的终端约束滚动时域H〓控制器的设计方法，并给出了控制律存在和使闭环系统渐近稳定的充分条件。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。