渐近稳定的

Under model-plant mismatch the robustly asymptotic stability and global convergence of the resulting closed-loop system are guaranteed by selecting proper prediction horizon.

同时给出了在模型失配情况下保证闭环系统全局渐近稳定的预报长度范围和模型失配上限值。

Furthermore, a sufficient condition that guarantees the asymptotic stability of the original system was derived.

提出并证明了原系统渐近稳定的充分条件。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

According to this algorithm, it is shown that the bifurcated periodic solutions through Hopf bifurcations at the first critical value of delay are orbitally asymptotically stable on the center manifold and the bifurcated periodic solutions through Hopf bifurcations at other critical values of delay are unstable.

根据这一算法，发现在时滞的第一个临界值处通过Hopf分支产生的周期解在中心流形上是轨道渐近稳定的，而在其它临界值处通过Hopf分支产生的周期解在中心流形上是不稳定的。

According to the model's actual background,discussing the random variable coefficient equation and using direct method,we obtain sufficient condition for the uniform stability and the globally asymptotic stability of difference equation,and also give examples to show they can not substitute each other.

本文根据种群模型的实际背景，讨论了任意变系数方程利用直接方法获得了所讨论方程的零解的一致稳定和全局渐近稳定的充分条件，并举例说明了这两个充分条件不能相互代替。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

Since the roots of the characteristic equation of the digital control system must stay inside the unit circle =1 in the z-plane for the overall system to be asymptotically stable,we see that the second-order digital control system can be unstable for large values of T.

由于基层的特征方程的数字控制系统必须留在单位内循环= 1中的Z -飞机的整体系统是渐近稳定的，我们看到，二阶数字控制系统可为大型值不稳定普通应用评委的稳定性试验的特征方程的均衡器。

For the model with exponent input, the endemic equilibrium is locally asymptotically stable when the period of latency is small enough; the endemic equilibrium is unstable when the period of latency is large enough.

对于带有指数输入的情形，发现地方病平衡点当潜伏期充分小时是局部渐近稳定的，当潜伏期充分大时是不稳定的。

Using the concept of Quadratic Stability and the approaches of predictive control, such as finite horizon and horizon receding, memoryless robust control and sufficient conditions of its existence and closed-loop stability are presented.

采用二次型稳定的概念，并借用预测控制中的时域有限及时域滚动的方法，给出了无记忆鲁棒控制律，并给出了其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。