具有变耦合时滞的离散时间神经网络的同步Global Synchronization in an Array of Discrete-time Delayed Neural Networks with Time-varying Delayed Coupling
钱学明
摘要(Abstract):
本文讨论一类具有变耦合时滞的离散时间神经网络的同步问题,通过构造Lyapunov-Krasovskii泛函,利用线性矩阵不等式(LMI),并结合Kronecker积来获得离散时间耦合神经网络全局指数同步的判据,所获得的判据依赖于时滞。该判据易于用MATLAB的LMI工具箱进行求解和验证,同时,对细胞激活函数做了更为一般的假设。
关键词(KeyWords): 离散时间;耦合神经网络;变耦合时滞;全局指数同步
基金项目(Foundation):
作者(Author): 钱学明
参考文献(References):
- [1]WU Chai-wah,CHUA L.O.Synchronization in an array of linearly coupled dynamical systems[J].IEEE Trans.On Circuits and Systems,1995,42(8):430-447.
- [2]CAO Jin-de,LI-Ping,WANG Wei-wei.Global synchronization in arrays of delayed neural networks with constant and delayed coupling[J].Phys.Lett.A,2006,353(4):318-325.
- [3]SONG Qian-kun.Synchronization analysis of coupled connected neural networks with mixed time delays[J].Neurocomputing,2009,(72):3 907-3 914.
- [4]WU Chai-wah.Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling[J].IEEETrans.Circuits Syst.-II,2005,52(5):282-286.
- [5]LIU Yu-rong,WANG Zi-dong,LIU Xiao-hui.On synchronization of coupled neural networks with discrete and unbounded distributeddelays[J].International Journal of Computer Mathematics,2008,85(8):1 299-1 313.
- [6]LIU Yu-rong,WANG Zi-dong,LIU Xiao-hui.Synchronization and State Estimation for Discrete-Time Complex Networks With Distribu-ted Delays[J].IEEE Trans.On Systems,Man and Cybernetics-Part B:Cybernetics,2008,38(5):1 314-1 325.
- [7]LIANG Jin-ling,WANG Zi-dong,LIU Xiao-hui.Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neu-ral Networks[J].IEEE Trans.On Neural Networks,2008,19(11):1 910-1 921.