Synchronization of delayed fuzzy cellular neural networks with impulsive effects

Abstract This letter studies synchronization of delayed fuzzy cellular neural networks with impulses and all the parameters unknown. To avoid the difficulties which may be brought by the impulses, a non-impulsive system is used to replaced the system with impulses. Then by the well known Lyapunov–Lasall principle, some new stability criteria are obtained. An example and its simulation were given to illustrate the simpleness and effectiveness of our main results.

[1]  Li Sheng,et al.  Exponential synchronization of a class of neural networks with mixed time-varying delays and impulsive effects , 2008, Neurocomputing.

[2]  Ta-lun Yang,et al.  The global stability of fuzzy cellular neural network , 1996 .

[3]  Chen An,et al.  The Global Stability of Fuzzy Cellular Neural Networks , 2001 .

[4]  Maoan Han,et al.  Synchronization of delayed fuzzy cellular neural networks based on adaptive control , 2008 .

[5]  Tianping Chen,et al.  Robust synchronization of delayed neural networks based on adaptive control and parameters identification , 2006 .

[6]  Jinde Cao,et al.  Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays , 2006, Neurocomputing.

[7]  Louis M. Pecora,et al.  Fundamentals of synchronization in chaotic systems, concepts, and applications. , 1997, Chaos.

[8]  Qidi Wu,et al.  Impulsive control for the stabilization and synchronization of Lorenz systems , 2002 .

[9]  Jinde Cao,et al.  Adaptive synchronization of neural networks with or without time-varying delay. , 2006, Chaos.

[10]  Wei Zhu,et al.  Global impulsive exponential synchronization of time-delayed coupled chaotic systems , 2008 .

[11]  Jurang Yan,et al.  Oscillation and Stability of Linear Impulsive Delay Differential Equations , 1998 .

[12]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[13]  Debin Huang Synchronization-based estimation of all parameters of chaotic systems from time series. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[15]  Leon O. Chua,et al.  Fuzzy cellular neural networks: theory , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[16]  Jinde Cao,et al.  Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects , 2007 .