On global exponential stability of delayed cellular neural networks with time-varying delays

A new sufficient condition has been presented ensuring the global exponential stability of cellular neural networks with time-varying delays by using an approach based on delay differential inequality combining with Young inequality. The results established here extend those earlier given in the literature. Compared with the method of Lyapunov functionals as in most previous studies, our method is simpler and more effective for stability analysis.

[1]  Leon O. Chua,et al.  Cellular neural networks with non-linear and delay-type template elements and non-uniform grids , 1992, Int. J. Circuit Theory Appl..

[2]  K. Gopalsamy Stability and Oscillations in Delay Differential Equations of Population Dynamics , 1992 .

[3]  Jin Xu,et al.  On the global stability of delayed neural networks , 2003, IEEE Trans. Autom. Control..

[4]  Guanrong Chen,et al.  LMI-based approach for asymptotically stability analysis of delayed neural networks , 2002 .

[5]  Wei Jing Stability of cellular neural networks with delay , 2007 .

[6]  Zhang Yi,et al.  Brief communication Periodic solutions and stability of Hopfield neural networks with variable delays , 1996, Int. J. Syst. Sci..

[7]  Jixin Qian,et al.  Stability analysis for neural dynamics with time-varying delays , 1998, IEEE Trans. Neural Networks.

[8]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[9]  Zhang Yrt Global exponential stability and periodic solutions of delay Hopfield neural networks , 1996 .

[10]  Jinde Cao,et al.  Global asymptotic stability of a general class of recurrent neural networks with time-varying delays , 2003 .

[11]  M. Joy On the Global Convergence of a Class of Functional Differential Equations with Applications in Neural Network Theory , 1999 .

[12]  Jinde Cao New results concerning exponential stability and periodic solutions of delayed cellular neural networks , 2003 .

[13]  Robert J. Plemmons,et al.  Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.

[14]  Huiyan Zhu,et al.  Global stability of cellular neural networks with constant and variable delays , 2003 .

[15]  Hong Qiao,et al.  A new approach to stability of neural networks with time-varying delays , 2002, Neural Networks.

[16]  Jinde Cao,et al.  Globally exponential stability conditions for cellular neural networks with time-varying delays , 2002, Appl. Math. Comput..

[17]  Daoyi Xu,et al.  Global dynamics of Hopfield neural networks involving variable delays , 2001 .

[18]  Tianguang Chu,et al.  An exponential convergence estimate for analog neural networks with delay , 2001 .

[19]  Jiye Zhang Globally exponential stability of neural networks with variable delays , 2003 .