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具有时滞和脉冲的离散神经网络的稳定性 被引量：1

Exponential Stability of Discrete-time Neural Networks with Delays and Impulses
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摘要 讨论了一类具有时滞和脉冲的离散神经网络,通过利用Razumikhin定理和线性矩阵不等式的性质,获得了模型指数稳定的新的充分条件,推广和改进了已有的相关结果. A class of discrete-time neural network with delays and impulses is studied. By using Razumikhin theorem and linear matrix inequalities （LMI） , some new sufficient conditions to guarantee the global exponential stability are established. The previously known results are extended and improved.
作者 王金玲 蒋海军 马天龙
机构地区 新疆大学数学与系统科学学院
出处 《北华大学学报（自然科学版）》 CAS 2014年第1期7-10,共4页 Journal of Beihua University（Natural Science）
基金 国家自然科学基金项目(61164004)
关键词 离散神经网络 指数稳定 时滞 脉冲 discrete-time neural network exponential stability delays impulses
分类号 O175.13 [理学—基础数学]
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参考文献13

  • 1H Lu,R Shen,F Chung. Global Exponential Convergence of Cohen-Grossberg Neural Networks with Time Delays [ J ]. IEEE Transanction on Neural Network ,2005,26 : 1694-1696.
  • 2S Guo, L Huang. Stability Analysis of Cohen-Grossberg Neural Networks[ J ]. Neural Network,2006,17 : 106-117.
  • 3W Su,Y Chen. Global Robust Stability Criteria of Stochastic Cohen-Grossberg Neural Networks with Discrete and Distributed Time-varying Delays [ J ]. Communications in Nonlinear Science and Numerical Simulation,2009,14:520-528.
  • 4W Luo, S Zhong,J Yang. Global Exponential Stability of Impulsive Cohen-Grossberg Neural [ J ]. Chaos Solitons and Fractals, 2009,42 : 1084-1091.
  • 5Z Orman. New Sufficient Conditions for Global Stability of Neutral-type Neural Networks with Time Delays [J].Neurocomputing, 2012,97 : 141 -148.
  • 6S Mohamad, K Gopalsamy. Dynamics of a Class of Discrete-time Neural Networks and Their Continuous-time Counterparts[J].Mathematics and Computers in Simulation,2000,53:1-39.
  • 7W Li, L Pang, H Su, et al. Global Stability for Discrete Cohen-Grossberg Neural Networks with Finite and Infinite Delays [ J ]. Applied Mathematics Letters ,2012,25:2246-2251.
  • 8S Mohamad, K Gopalsamy. Exponential Stability of Continuous-time and Discrete-time Cellular Neural Networks [ J ]. Applied Mathematics and Computation ,2003,135 : 17-38.
  • 9Z Chen, D Zhao. Discrete Analogue of High-order Periodic Cohen-Grossberg Neural Networks with Delay [J].Applied Mathematics and Computation,2009,214:210-217.
  • 10S Wu, C Li, X Liao ,et al. Exponential Stability of Impulsive Discrete Systems with Time Delay and Applications in Stochastic Neural Networks : a Razumikhin Approach [ J ]. Neurocomputing, 2012,82 : 29-36.

同被引文献12

  • 1BRANICKYMK Multiple Lyapunov functions and other analysis toolsfor switched and hybrid systems[J]. IEEE Trans on Autom Eontr, 1998,43(4):475 - 482.
  • 2LIBER ZON D, MORSE AK Basic problems in stability and design of switched systems[J]. IEEE Contr SystMagazine, 1999,19 (5)259 -70.
  • 3SEHJEONG K, CAMPBELL S A, LIU X Z. Stability of a class of linear switching systems with time delay[J]. 1EEE Trans on Circuits and Syst-- , 2006,53(2),384- 393.
  • 4LIBERZON D,MORSEA S. Basic problems in stability and design of switched systems[J]. IEEE Contr Syst Magazine, 1999,19 (5) : 59 - 70.
  • 5KACZOREK T. Stability of positive continuous-time linear systems with delays[J]. Bulletin of the Polish Academy of Science, 2009,57(4) :395 - 398.
  • 6SUN Ximing, WANG Feng, LIU Guoping. Stability analysis for linear switched systems with time-varying delay[J]. IEEE Trans Syst Man Cybern B, 2008,38(2) :528 - 533.
  • 7CAO Yongyan, LIN Zongli. Stability analysis of discrete-time systems with actuator saturation by a saturation-dependent Lyapunov function[J]. Automatic, 2003,39(11) : 1235 - 1241.
  • 8RAMI M A, HELMKE U, TADEO F. Positive observation problem for time-delays linear positive system[J]. Mediterranean Conf Control and Automation, 2007,51(5) : 355 - 361.
  • 9SEHJEONG IK,CAMPBELL S A, LIU X Z. Stability of a class of linear switching systems with time delay[J]. IEEE Trans on Circuits and Syst- I , 2006,53(2) :384 - 393.
  • 10DANIEL L, STEPHEN M. Basic problems in stability and design of switched systems[J]. IEEE Trans Syst Man Cybern, 1999, 37(2) : 59 - 70.

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北华大学学报（自然科学版）
2014年 第1期

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