查询词典 domain of attraction

This dissertation shows each unstable asymptotic equilibrium point is just the pattern that refuses to be recognized by combining the idea about constraint and projection with the continuous network LSSM and the discrete network BSB, eliminates some shortcomings of LSSM and BSB in the distribution of attraction domain. LSSM and BSB are then improved to be ideal associative memory and can be implemented by circuit.

将约束投影思想与连续神经网络LSSM和离散神经网络BSB相结合，说明了不渐近稳定的平衡点恰是实际中拒识模式，根除了LSSM和BSB在吸引域分布等方面的一些缺点，将它们完善成为理想的联想记忆器，并且它可用电路实现。

By transforming the nonlinear saturation constraint into the special linear constraint, the problem of solving the feedback controller with saturated actuator is converted to the design of controller with linear constraint. The stochastic stability is ensured by using the intersection of ellipsoid invariant set of different modes existing in the attraction domain of the closed loop system. In this case, solving controllers can be equivalent to a solvability problem of linear matrix inequalities.

通过将非线性饱和约束转化为特殊的线性约束，使具有饱和执行器的控制器求解问题转化为线性约束控制器的求解问题，利用位于闭环系统吸引域内的不同模态下椭圆不变集的交集来保证系统的随机稳定性，此时控制器的求解可等效为线性矩阵不等式的可解性问题。

The problem of attraction domain estimation for discrete systems subject to actuator saturation was investigated.

非线性几乎存在于大多数控制系统中，带有执行器饱和的系统是一类常见的非线性系统。

Finally the attraction domain of a kind of variable structure guidance, which is designed by zeroing sight angle rate, is shown that the valid of the analysis method is verified.

最后，针对零化视线角速率而设计的变结构制导律，确定了它的滑动模态吸引区，验证了理论分析方法的有效性。

We explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method. We also investigate Hopf bifurcation by using Hassard method. Finally, some numerical simulations are made for system.Our paper are separated into seven chapters.

本文对一类具时滞和比率依赖的HollingⅢ型捕食-食饵系统进行了研究，利用Liapunov方法精确估计了正平衡点的吸引域，并利用Hassard方法研究了系统的Hopf分支，最后本文对一个具体模型进行了数值模拟。

A sufficient and necessary condition for nonlinear continuous-time associate memory neural networks to be locally exponentially stable is obtained, and a unction is defined for characterizing the domain of attraction of equilibrium point.

摘要讨论非线性连续联想记忆神经网络平衡点局部指数稳定的判定条件及平衡点指数吸引域的估计，得到了平衡点局部指数稳定的充要条件，并引入一个特征函数，可以判定平衡点的邻域是否为指数吸引域。

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we have limsup a.s.

第五章，设｛X_n，n≥1｝是同分布ρ-混合序列，其分布属于特征指数为α(0＜α＜2)的非退化稳定分布的正则吸引场，证明了依概率1有

In§4.2, Cell mapping method was used to study the global domain of attraction of GKdV equations. Cell mapping is developed by discretization of the point mapping which is a useful tool in solving nonlinear dynamical systems.

点映射作为解决非线性动力系统的有效工具，其一般方法可以追溯到Poincare和Birkhoff。

In chapter five, let {Xt,i 1} be ρ-mixing sequences with identical distributions, which belong to domain of normal attraction with non-generational and stable distribution. With probability one, we havelimsup a.s.

第五章，设｛X_n，n≥1｝是同分布ρ-混合序列，其分布属于特征指数为α(0＜α＜2)的非退化稳定分布的正则吸引场，证明了依概率1有

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

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。