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A constraint on the connection matrix has been found under which the neural network has a unique and asymptotically stable equilibrium point.

证明了神经网络连接权矩阵在给定的约束条件下有唯一的而且是渐近稳定的平衡点。

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

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐近稳定的害虫根除周期解,最后给出了系统持续生存的条件。3。

A convex combination condition and a switching strategy are derived.

针对离散单时滞切换系统,提出了一个使系统渐近稳定的充分性条件,给出了该系统的无记忆状态反馈镇定和无记忆输出反馈镇定,并将结果推广到不确定离散时滞切换系统的鲁棒镇定。

Based on convex combination technique, reliable controllers and a switching law are designed to make systems be globally asymptotically stable not only when all actuators are operational, but also when some actuators faults occur. At last, the simulation results show the feasibility and validity of the designed method.

利用凸组合技术,设计可靠控制器和相应的切换策略,使得不仅当执行器正常时而且当一些执行器出现故障时仍保证闭环系统是全局渐近稳定的,最后通过仿真算例验证所设计方法的可行性、有效性。

At the same time, the AH-stability of θ-methods for the linear delay algebraic-differential equation is derived.

在对线性延迟微分代数方程θ-方法的AH-稳定性的研究中,给出了方程解析解渐近稳定的一个充分条件。

In this paper, the nonexistence of the closed orbit which circles the equilibrium is proved by using the Dulac function, then all the orbits of the system are bounded by the Filippov transformation and comparability theorem.

本文利用Dulac函数法,首先判定了不存在绕平衡点的闭轨线,然后利用Filippov变换和比较定理,证明了系统所有轨线的有界性,进而得到了平衡点是全局渐近稳定的

In the paper, puts forward a new method to analyze the progressive stability of higher- dimension non-linear circuit equilibrium point.

提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法。

In this paper,the periodic solutions of a class of monlinear systems are studied by using the method of Liapunov function.

本文运用Liapuunov函数方法,研究了一类非线性系统的周期解,得到了存在唯一渐近稳定的周期解的充分条件。

Applying Lyapunov function method and the property of the matrix measure and the matrix norm, some new sufficient conditions for asymptotic stable independent of delay of the linear systems with multiple time delay are presented.

综合利用Lyapunov 函数方法,结合矩阵测度和矩阵范数的性质,通过加强不等式,给出线性多时滞系统时滞无关渐近稳定的新的充分条件。

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推荐网络例句

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。

However, I have an idea.

不过,我有个主意。