Global Exponential Stability of Cellular Neural Networks with Time-Varying Delays

The problem of global exponential stability of cellular neural networks with time-varying delays is discussed by employing a method of delay differential inequality. A simple sufficient condition is given for global exponential stability of the cellular neural networks with time-varying delays. The result obtained here improves some results in the previous works.

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

[2]  Qiang Zhang,et al.  Global exponential convergence analysis of delayed neural networks with time-varying delays , 2003 .

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

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

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

[6]  Jin Xu,et al.  On global exponential stability of delayed cellular neural networks with time-varying delays , 2005, Appl. Math. Comput..

[7]  N. Adachi,et al.  Macroscopic Stability of Interconnected Systems , 1975 .

[8]  Qiang Zhang,et al.  Delay-dependent exponential stability of cellular neural networks with time-varying delays , 2005 .

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

[10]  Mark P. Joy,et al.  Results concerning the absolute stability of delayed neural networks , 2000, Neural Networks.

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

[12]  Leon O. Chua,et al.  Detecting simple motion using cellular neural networks , 1990, IEEE International Workshop on Cellular Neural Networks and their Applications.

[13]  Hongtao Lu,et al.  On stability of nonlinear continuous-time neural networks with delays , 2000, Neural Networks.

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

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

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