New results on global exponential stability of competitive neural networks with different time scales and time-varying delays

This paper studies the global exponential stability of competitive neural networks with different time scales and time-varying delays. By using the method of the proper Lyapunov functions and inequality technique, some sufficient conditions are presented for global exponential stability of delay competitive neural networks with different time scales. These conditions obtained have important leading significance in the designs and applications of global exponential stability for competitive neural networks. Finally, an example with its simulation is provided to demonstrate the usefulness of the proposed criteria.

[1]  Wang Mao-Sheng,et al.  Synchronization and coherence resonance in chaotic neural networks , 2006 .

[2]  Jinde Cao,et al.  Global exponential stability and periodicity of recurrent neural networks with time delays , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Shun-ichi Amari,et al.  Field theory of self-organizing neural nets , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  Xuyang Lou,et al.  Stochastic Exponential Stability for Markovian Jumping BAM Neural Networks With Time-Varying Delays , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[5]  Herbert Witte,et al.  Learning continuous trajectories in recurrent neural networks with time-dependent weights , 1999, IEEE Trans. Neural Networks.

[6]  Zhang Qiang,et al.  Global exponential convergence analysis of delayed cellular neural networks , 2003 .

[7]  Shao Shi-quan,et al.  Impulsive control of chaotic systems with exogenous perturbations , 2007 .

[8]  Hongtao Lu Chaotic attractors in delayed neural networks , 2002 .

[9]  Hongtao Lu,et al.  Global exponential stability of delayed competitive neural networks with different time scales , 2005, Neural Networks.

[10]  B. Pourciau Hadamard's theorem for locally Lipschitzian maps , 1982 .

[11]  吴刚,et al.  Chaotic phenomena in Josephson circuits coupled quantum cellular neural networks , 2007 .

[12]  Liang Jin,et al.  Stable dynamic backpropagation learning in recurrent neural networks , 1999, IEEE Trans. Neural Networks.

[13]  Hongtao Lu,et al.  Global exponential convergence of multitime-scale neural networks , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[14]  Sabri Arik,et al.  Global stability of a class of neural networks with time-varying delay , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[15]  Tan Wen,et al.  Synchronization of an uncertain chaotic system via recurrent neural networks , 2005 .

[16]  S. Arik,et al.  On the global asymptotic stability of delayed cellular neural networks , 2000 .

[17]  Anke Meyer-Bäse,et al.  Global exponential stability of competitive neural networks with different time scales , 2003, IEEE Trans. Neural Networks.

[18]  Xuyang Lou,et al.  Synchronization of competitive neural networks with different time scales , 2007 .