共查询到20条相似文献，搜索用时 44 毫秒
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To facilitate stability analysis of discrete-time bidirectional associative memory (BAM) neural networks, they were converted into novel neural network models, termed standard neural network models (SNNMs), which interconnect linear dynamic systems and bounded static nonlinear operators. By combining a number of different Lyapunov functionals with S-procedure, some useful criteria of global asymptotic stability and global exponential stability of the equilibrium points of SNNMs were derived. These stability conditions were formulated as linear matrix inequalities (LMIs). So global stability of the discrete-time BAM neural networks could be analyzed by using the stability results of the SNNMs. Compared to the existing stability analysis methods, the proposed approach is easy to implement, less conservative, and is applicable to other recurrent neural networks. 相似文献
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Studies on the stability of the equilibrium points of continuous bidirectional associative memory (BAM) neural network have yielded many useful results. A novel neural network model called standard neural network model (SNNM) is ad- vanced. By using state affine transformation, the BAM neural networks were converted to SNNMs. Some sufficient conditions for the global asymptotic stability of continuous BAM neural networks were derived from studies on the SNNMs’ stability. These co… 相似文献
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This paper investigates the exponential synchronization problem of some chaotic delayed neural networks based on the proposed general neural network model, which is the interconnection of a linear delayed dynamic system and a bounded static nonlinear operator, and covers several well-known neural networks, such as Hopfield neural networks, cellular neural networks （CNNs）, bidirectional associative memory （BAM） networks, recurrent multilayer perceptrons （RMLPs）. By virtue of Lyapunov- Krasovskii stability theory and linear matrix inequality （LMI） technique, some exponential synchronization criteria are derived. Using the drive-response concept, hybrid feedback controllers are designed to synchronize two identical chaotic neural networks based on those synchronization criteria. Finally, detailed comparisons with existing results are made and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws. 相似文献
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混合时滞区间神经网络鲁棒指数稳定性 总被引：3，自引：3，他引：0
易春 《内江师范学院学报》2009,24(2):23-26
讨论了混合时滞区间神经网络的全局鲁棒指数稳定性．利用拓扑度理论和不等式技巧给出了一个混合时滞区间神经网络平衡点的存在唯一性以及全局鲁棒指数稳定性的条件。 相似文献
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通过不等式技巧和矩阵分析方法,研究了一类离散的具有分布时滞的神经网络,获得了确保唯ω-周期解的存在和指数稳定性的充分条件,最后给出一个例子以说明结果的可行性. 相似文献
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A new neural network model termed ＇standard neural network model＇ （SNNM） is presented, and a state-feedback control law is then designed for the SNNM to stabilize the closed-loop system. The control design constraints are shown to be a set of linear matrix inequalities （LMIs）, which can be easily solved by the MATLAB LMI Control Toolbox to determine the control law. Most recurrent neural networks （including the chaotic neural network） and nonlinear systems modeled by neural networks or Takagi and Sugeno （T-S） fuzzy models can be transformed into the SNNMs to be stabilization controllers synthesized in the framework of a unified SNNM. Finally, three numerical examples are provided to illustrate the design developed in this paper. 相似文献
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陈丰盈 《咸阳师范学院学报》2010,25(6)
考虑了线性变分不等式问题.提出了求解它的一种新的时滞投影神经网络模型.利用泛函微分方程理论,证明了新模型解的存在惟一性,并给出了时滞投影神经网络全局指数稳定的充分条件.用数值模拟说明提出的神经网络的性能. 相似文献
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Interval standard neural network models for nonlinear systems 总被引：1，自引：0，他引：1
LIU Mei-qin 《浙江大学学报(A卷英文版)》2006,7(4):530-538
INTRODUCTION Neural networks have been successfully em- ployed for controlling nonlinear systems since the 1990’s (Narendra and Parthasarathy 1990; Hunt et al., 1992; Suykens et al., 1996). In these nonlinear control systems, neural networks have been used either for modelling the system to be controlled, or for design- ing a controller, or both. Recently, the robustness issue has been an important focus of research in neuro-control circles (Suykens et al., 1996; Wams et al., 1999; Aya… 相似文献
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吴丽雯 《黄冈师范学院学报》2011,31(6):10-13,18
讨论了一类变时滞细胞神经网络模型的指数稳定性问题.通过构造新的Lyapunov泛函和利用线性矩阵不等式（LMI）技术,获得了一些保证模型的平衡点指数稳定的充分条件. 相似文献
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HUANG Jian GUAN Zhihong WANG Zhongdong Department of Control Science & Engineering Huazhong University of Science & Technology Wuhan Hubei P.R. China 《重庆大学学报(英文版)》2004,3(1):30-33
1.IntroductionAsthecomplexityofmoderncontrolsystems,itsdimensionbecomesmoreandmorevast.Actuators,sensorsandcontrollersinsystemsareusuallydistributed.Theclose-loopfeedbackcontrolsystemscanbeestablishedviaconnectingthesenodeswithcommunicationnetwork.Thesesystemsareoftencallednetworkedcontrolsystems(NCSs).TheNCSsbasedonfieldbusnetwork,suchasCANbus,havebeenwidelyusedinvariousindustrialareasinrecentyears.Therearemanynewissueswhenusingnewsystems.Thefirstissueisthenetwork-induceddelay(sensor-to-… 相似文献
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钱学明 《温州大学学报(社会科学版)》2014,(3):1-11
讨论了一类离散时间的时滞耦合神经网络的同步问题.在参教不确定的离散时间耦合神经网络中,考虑了变时滞和有限分布时滞.同时,细胞激活函数假设为较Lipschitz奈件更为一般的扇形非线性函数,该函数可以既不可微又不严格单调.通过构造Lyapunov-Krasovskii泛函,运用线性矩阵不等式(LMI)技术,并结合Kronecker积来获得耦合神经网络鲁棒全局指数同步的充分性判据,并且所获得的判据依赖于时滞.最后,对一个实例进行仿真,说明结论的有效性. 相似文献
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LI Chuandong LIAO Xiaofeng College of Mathematics Physics Chongqing University Chongqing P.R. China Department of Computer Science Engineering Chongqing University Chongqing P.R. China 《重庆大学学报(英文版)》2004,3(1):39-42
1.IntroductionConsideradelayedneural-networkmodeldescribedbythefollowingfunctionaldifferentialequations.()()()()()()11,nniiiijjjijjjijjtautwgutvgutImt===-++-+邋&1,2,,.in=K(1a)or()()()()()()ttttt=-++-+uAuWGuVGuI&,(1b)where()()()()T12,,,ntututut=轾臌uListhestatevectoroftheneuralnetwork;()12diag,,,naaa=AKisadiagonalmatrixwithpositiveentries,i.e.,0ia>;()ijnnw=Wand()ijnnv=Varetheconnectionweightmatrixanddelayedconnectionweightmatrix,re-spectively;()()()()()()()()T1122,,,nntgutgutgut轾=臌GuKde… 相似文献
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WANG Yongji WANG Hong Department of Control Science & Engineering Huazhong University of Science &Technology Wuhan Hubei P.R.China Control Systems Centre UMIST PO Box Manchester M QD UK 《重庆大学学报(英文版)》2004,3(1):26-29
~~identificationis7-7-1,where3nm==,andtheRPEalgorithmisusedtoupdatetheweightingofPNN.Thewholetrainingprocessuses800iterations.InordertoovercometheinaccuracyofPNNmodel,thecontrollerstructureisacompositeoneasfbff()()()ututut=+,(37)wherefb()utistheoutputoffeedbackcontroller,ff()utistheoutputofpredictivecontrollerdescribedbyEq.(14),with0.20=,0.40=,andmax5K=.Insimulatedclosedloopcontrol,ufb(t)isaproportionalcontroller,fb()()Putket=and5.0Pk=.Theset-pointofthesystemisd0.15,if040,and120()0.24,if4… 相似文献
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文章研究了一类推广的具有变时滞的人工神经网络系统模型的全局指数稳定性.通过Lyapunov稳定性理论,给出了该时滞神经网络系统模型平衡点唯一和全局指数稳定的一类判定条件,并通过典型实例来说明本文结果的应用. 相似文献
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WU Xiao-juan ZHU Xin-jian CAO Guang-yi TU Heng-yong 《浙江大学学报(A卷英文版)》2007,8(9):1505-1509
The solid oxide fuel cell (SOFC) is a nonlinear system that is hard to model by conventional methods. So far,most existing models are based on conversion laws,which are too complicated to be applied to design a control system. To facilitate a valid control strategy design,this paper tries to avoid the internal complexities and presents a modelling study of SOFC per-formance by using a radial basis function (RBF) neural network based on a genetic algorithm (GA). During the process of mod-elling,the GA aims to optimize the parameters of RBF neural networks and the optimum values are regarded as the initial values of the RBF neural network parameters. The validity and accuracy of modelling are tested by simulations,whose results reveal that it is feasible to establish the model of SOFC stack by using RBF neural networks identification based on the GA. Furthermore,it is possible to design an online controller of a SOFC stack based on this GA-RBF neural network identification model. 相似文献
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侯学刚 《乐山师范学院学报》2003,18(4):9-12
对具有时滞的Hopfield神经网络模型，在非线性神经元激励函数满足Lipcshitz连续的条件下，借助于Lia-punov第二方法，给出了这类模型渐近性态易于验证的充分条件。 相似文献
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研究了一类神经网络，包括Hopfield神经网络和细胞神经网络，从神经网络的互连矩阵以及神经元输入输出的激励函数出发，建立了全局情况下的指数收敛速率的估计和指数稳定性的结论。 相似文献