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混合变时滞的中立型神经网络全局指数稳定性 被引量：1

Global Exponential Stability for Neutral-Type Neural Networks with Hybrid Time-Varying Delays
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摘要 利用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式(LMI)处理方法,研究了一类具有混合时变时滞的中立型细胞神经网络的全局指数稳定性问题,获得了该模型平衡点全局指数稳定的一个新的充分条件.改进和推广了已有文献的结果,降低了系统的保守性.所得结论对更好的模拟细胞神经网络的行为具有重要的指导意义. Based on the Lyapunov-Krasovskii functional stability analysis and the linear matrix inequality （LMI） approach, the global exponential stability was discussed for the neutral-type cellular neural networks with discrete and distributed time-varying delays,a new sufficient condition was derived to assure the global exponential stability of the equilibrium. The criterion improved and extended the results of literature,and has less conservative. The obtained conclusion has the important theoretical and practical significance to the better simulate cellular neural networks＇ behavior.
作者 吴亮 尹景本 王军涛
机构地区 河南科技学院数学系
出处 《河南科学》 2009年第12期1493-1496,共4页 Henan Science
基金 河南省教育厅自然科学研究项目(2007110020 2008110006)
关键词 离散时滞 分布时滞 中立型细胞神经网络 Lyapunov—Krasovskii方程 线性矩阵不等式(LMI) 全局指数稳定性 discrete delays distributed delays neutral-type cellular neural networks lyapunov-krasovskii funetional linear matrix inequality （LMI） global exponential stability
分类号 O175 [理学—基础数学]
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参考文献8

  • 1Rakkiyappan R, Balasubramaniam P. New global exponential stability results for neutral-type neural networks with distributed time delays[J]. Neurocomputing, 2008,71 (4-6) : 1039-1045.
  • 2Rakkiyappan R, Balasubramaniam P. LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays [J]. Applied Mathematics and Computation, 2008,204 (1): 317-324.
  • 3Zhang J, Suda Y, Iwasa T. Absolutely exponential stability of a class of neural networks with unbounded delay[J]. Neural Networks, 2004, 17: 391-397.
  • 4Cao J. Global asymptotic stability of neural networks with transmission delays[J]. Int J Syst Sci, 2000, 31: 1313-1316.
  • 5Liao X F, Chen G R, Sanchez E N, Delay-dependent exponential stability analysis of delayed neural networks an LMI approach [J]. Neural Networks, 2002, 15: 855-866.
  • 6方胜乐,江明辉,邓修成.混合变时滞细胞神经网络的全局渐近稳定性[J].三峡大学学报（自然科学版）,2008,30(1):89-92. 被引量：1
  • 7孟益民,甄铁军.具连续分布时滞细胞神经网络的指数稳定性[J].湖南大学学报（自然科学版）,2008,35(1):89-92. 被引量：2
  • 8Xu S, Lain J, Ho D W C, Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays [J]. J Comput Math Appl, 2005, 183: 16-28.

二级参考文献17

  • 1Cha L O, Yang L. Cellular Neural Network: Theory [J]. IEEE Trans Cire Syst, 1988, 35:1257-1272.
  • 2Park J H. Global Exponential Stability of Cellular Neural Networks with Variable Delays[J]. Applied Mathematics and Computation, 2006,183 : 1214-1219.
  • 3Lien C. Global Asymptotic Stability for Cellular Neural Networks with Discrete and Distributed Time-varying Delays[J]. Chaos,Solitons and Fractals, 2007, 34:1213- 1219.
  • 4Cao J. Global Asymptotic Stability of Neural Networks with Transmission Delays[J]. Int J Syst Sci, 2000, 31 ; 1313-1316.
  • 5Boyd B. Linear Matrix Inequalities in Systems and Control Theory[M]. Philadelphia: SIAM, 1994.
  • 6Burton T. Stability and Periodic Solutions of Ordinary Differential Equations and Functional Differential Equations[M]. Academic Press,1985.
  • 7Gu K. An Integral Inequality in the Stability Problem of Time-Delay Systems [J]. Proc IEEE CDC, Australia. December 2000, 2805-2810.
  • 8Liu Y. Global Exponential Stability of Generalized Recurrent Neural Networks with Discrete and Distributed Delays[J]. Neural Networks, 2006,19: 667-675.
  • 9Park J H. On Global Stability Criterion for Neural Networks with Discrete and Distributed Delays[J]. Chaos, Solitons and Fractals,2006, 30 : 897-902.
  • 10GILLI M, CIVALLER P P, PANDOLFI L. On stability of eellular neural networks with delay[J ]. IEEE Trans, 1993, 40(3) : 157- 164.

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河南科学
2009年 第12期

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