具有分布时滞和马尔可夫参数的双向联想记忆神经网络的随机渐近稳定性（英文）.pdf

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1、信阳师范学院学报：自然科学版JournalofXinyangNormalUniversity第26卷第1期2013年1月NaturalScienceEditionVo1．26No．1Jan．2013DOI：10．3969／j．issn．1003-0972．2013．01．002AsymptoticStabilityofStochasticBAMNeuralNetworkswithDistributedDelayandMarkovianParameterLiYu(CollegeofEconomicsandManagement，XinyangN

2、ormalUniversity，Xinyang464000，China)Abstract：Thestochasticallyasymptoticstabilityforstochasticbidirectionalassociativememory(BAM)neuralnetworkswithdistributeddelayandMarkovianparameter(SDBAMNNswM)wasconsidered．Thesuficientconditionsforthestochasticallyasymptoticstabilitywe

3、regiven．Alltheobtainedresultswerepresentedintermsoflinearmatrixinequality(LMI)．Theeficiencyoftheproposedresultswasdemonstratedviaonenumericalexample．Keywords：bidirectionalassociativememory(BAM)；neuralnetworks；Lyapunovfunction；stochasticstability；BrownianmotionCLCnumber：017

4、5．13；0175．14Articlecharacter：AArticleID：1003-0972(2013)01-0007-05具有分布时滞和马尔可夫参数的双向联想记忆神经网络的随机渐近稳定性李毓(信阳师范学院经济管理学院，河南信阳464000)摘要：研究了含有分布时滞和马尔可夫参数的双向联想记忆神经网络的随机渐近稳定性，给出了随机渐近稳定性的充分条件．所有的结果以线性矩阵不等式(LMI)的方式呈现，并举例证明其结果的有效性．关键词：双向联想记忆；神经网络；Lyapunov泛函；随机稳定性；布朗运动中图分类号：0175．13；0175．1

5、4文献标志码：A文章编号：1003-0972(2013)01-0007—050Introductionanoisyprocessbroughtonbyrandomfluctuationsfromthereleaseofneurotransmitters，andotherThebidirectionalassociativememory(BAM)probabilitycauses．Therefore，itissignificantandmode1wasfirstintroducedbvKoso[]in1988．ofprimeimportanc

6、etoconsiderstochasticefectstoRecently，thestabilityandtheperiodicoscillatorythestabilitypropertyofneuralnetworks[。．solutionsofBAMneuralnetworkshavebeenMarkovianjumpsystemsintroducedbyRef．studied(e．g．Ref．[2-6])．[10]arethehybridsystemswithtwocomponentsTothebestourknowledge，ar

7、ealsystemisinthestate，whichisdescribedbyausuallyafectedbyexternalperturbationswhichincontinuous—timefinite—stateMarkovianprocess，andmanycasesareofgreatuncertaintyandhencemaythesecondonereferstothestatewhichispresentedbetreatedasrandom，aspointedoutbyRef．[7]byasystemofdiffer

8、entialequations．ThejumpthatinrealnervoussystemssynaptictransmissionisReceiveddate：20I2-06