时变时滞细胞神经网络的同步研究与仿真Research and Simulation on Time-varying and Time-delay Cellular Neural Network Synchronization
彭战松,张哲
摘要(Abstract):
分析时变时滞的细胞神经网络全局渐近稳定性问题,确定时变时滞细胞神经网络平衡点全局渐近稳定的新充分判定准则。通过研究时滞细胞神经网络模型、系统激励函数所需满足的条件及需要的引理,讨论时滞细胞神经网络的全局渐近稳定性,所得条件与时滞相关,并用实例验证所得的稳定性条件是有效的.
关键词(KeyWords): 细胞神经网络;时变时滞;稳定性;系统激励函数;混沌同步
基金项目(Foundation):
作者(Author): 彭战松,张哲
DOI: 10.13681/j.cnki.cn41-1282/tv.2013.04.022
参考文献(References):
- [1]H.B.Zhang,C.G.Li,X.F.Liao.A Note on the Robust Stability of Neural Networks with Time Delay.Chaos,Solitions and Fractals,2005,25(2):357-360.
- [2]J.H.Zhang,J.Q.Qiu,P.Shi.New Robust Stability Criteria for Uncertain Neural Networks with Time-Varying Delays.First international conference on innovative computing information and control,2006,(3):648-651.
- [3]H.Yang,T.Chu,C.Zhang.Exponential Stability of Neural Networks with Variable Delays via LMI Approach.Chaos,Solitons and Fractals,2006,30(1):133-139.
- [4]Y.He,M.Wu,J.H.She.An Improved Global Asymptotic Stability Criterion for Delayed Cellular Neural Networks.IEEE Trans.Neural Networks,2006,17(1):250-252.
- [5]Y.He,Q.G.Wang,W.X.Zheng.Global Robust Stability for Delayed Neural Network swith Polytopic Type Uncertainties.Chaos,Solitons and Fractals,2005,26(5):349-1354.
- [6]K.W Yu,C.H.Lien.Stability Criteria for Uncertain Neutral Systems with Interval Time-varying Delays.Chaos,Solitons and Fractals.doi:10.1016/j.chaos.2007.01.002.
- [7]X.F.Jiang,Q.L.Han.Delay-dependent Robust Stability for Uncertain Linear Systems with Interval Time-varying Delay.Automatica,2006,42(6):1059-1065.
- [8]X.F.Jiang,Q.L.Han,X.H.Yu.Stability Criteria for Linear Discrete-time Systems with Interval-like Time-varying Delay.2005 American control conference,2005,(8-10):2817-2822.
- [9]X.F.Jiang,Q.L.Han.On Control for Linear Systems with Interval Time-varying Delay.Automatica,2005,41(12):2099-2106.
- [10]V.Singh.Robust Stability of Cellular Neural Networks with Delay:Linear Matrix Inequality Approach.IEEE Proc.-Control Theory Appl,2004,151(1):125-129.
- [11]B.Boyd,L.E.Ghaoui,E.Feron,V.Balakrishnan.Linear matrix inequalities in systems and control theory.Philadelphia:SIAM,1994:7-36.
- [12]O.E.Rossler.An equation for continuous chaos.Pbys.Lett.A.1976,57:397-398.
- [13]马知恩.常微分方程定性与稳定性方法[M].西安:科学出版社,2001:70-71.