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11.
In this paper, we first introduce the model of discrete-time neural networkswith generalized input--output function and present a proof of the existence of afixed point by Schauder fixed-point principle. Secondly, we study the uniformlyasymptotical stability of equilibrium in non-autonomous discrete--time neuralnetworks and give some sufficient conditions that guarantee the stability of itby using the converse theorem of Lyapunov function. Finally, several examplesand numerical simulations are given to illustrate and reinforce our theories. 相似文献
12.
In this paper we discuss the types and criteria of nonoscillatory solutions for the fol-lowing second order neutral functional differential equation with nonpositive coefficients 相似文献
13.
阮炯 《数学年刊A辑(中文版)》1988,(2)
本文讨论二阶具有非正系数的中立型与滞后型泛函微分方程,给出了这些方程的非振动解的类型以及判别条件。 对于cO情形(中立型),本文给出了四种S~*类的非振动解:对于|c|相似文献
14.
1IntroductiollConsiderableattentionhasbeenpaidrecentlytothecontrolofchaoticsystem.Inthispaper,weuseappropriateperturbation(localfeedbackcontrol)tostabilizetheunstablehigherperiodicorbitswhichispresentedbyPaskatoet.al.[8].Ouraimistoinitiallypresenttheestimationofneighborhoodofaperiod-porbitinwhichthecontrolledsystemremainsstable.ConsiderthenonlineardiscretedynamicalsystemwherexuER'isthestatevariable,N4={no,no l,''3no6NU{0}},andfeC'(NAxR',R').Let2beperiod-ppoint,i.e.fi(n,~)=2,then{2,f(n,2)… 相似文献
15.
In this paper, by using the stability theory of stochastic
differential equations, the average-consensus problem with noise
perturbation is investigated. It is analytically proved that the
consensus could be achieved with a probability of one. Furthermore,
numerical examples are taken to illustrate the effectiveness of the
theoretical result. 相似文献
16.
阮炯 《数学年刊B辑(英文版)》1983,(1)
In this paper,We give some sufficient conditions for absolute stability of the following controlsystems:We modify and generalize Theorems 2 and 4 in the paper[1]of A.Somolinos. 相似文献
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中立型微分差分方程和常微分方程的稳定性等价问题 总被引:3,自引:0,他引:3
<正> 在[1]中已研究了(1)与(2)之间稳定性的等价问题.本文继续[1]的研究得到了下面的一些结果.首先改进了[1]中的中立型线性系统的等价问题的滞量估计式,并由此得到了时滞系统等价问题中滞量估计的充要条件.此外,对于线性系统的第一临界情形,用特征空间的分解给出等价定理的滞量估计式,并且对于带有非线性扰动项的中立型系统的等价问题,本文也建立了滞量的估计式.所考虑的非线性扰动项包括相当广泛的一类泛函,不仅给出零解渐近稳定的充分条件,而且给出了解的估计式. 相似文献
19.
本文讨论带有几个常滞量或一个变滞量的一阶线性中立型微分差分方程并给出了上述方程振动的一些充分性判据。 相似文献
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