Global asymptotic stability of fuzzy cellular neural networks with time-varying delays

In this Letter fuzzy cellular neural networks with time-varying delays are studied. Sufficient conditions for the existence, uniqueness and global asymptotic stability of equilibrium point are established by using the theory of topological degree and applying the properties of nonsingular M-matrix. The activation functions are not required to be differentiable, bounded or monotone nondecreasing. The results of this Letter are new and they complement previously known results.

[1]  Zhidong Teng,et al.  Global eponential stability of cellular neural networks with time-varying coefficients and delays , 2004, Neural Networks.

[2]  Tingwen Huang Exponential stability of fuzzy cellular neural networks with distributed delay , 2006 .

[3]  Wansheng Tang,et al.  Exponential stability of fuzzy cellular neural networks with constant and time-varying delays , 2004 .

[4]  Jinde Cao,et al.  Stability analysis of delayed cellular neural networks , 1998, Neural Networks.

[5]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

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

[7]  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).

[8]  Jinde Cao,et al.  New conditions for global exponential stability of cellular neural networks with delays , 2005, Neural Networks.

[9]  Jinde Cao,et al.  Global stability analysis in delayed cellular neural networks. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  S. Arik,et al.  Equilibrium analysis of delayed CNNs , 1998 .

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

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

[13]  Jiye Zhang,et al.  Absolute stability analysis in cellular neural networks with variable delays and unbounded delay , 2004 .

[14]  Jinde Cao,et al.  Necessary and sufficient condition for the absolute exponential stability of a class of neural networks with finite delay , 2006 .

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

[16]  Jinde Cao,et al.  Global exponential stability and periodic solutions of recurrent neural networks with delays , 2002 .

[17]  Jiye Zhang,et al.  Global stability analysis in delayed cellular neural networks , 2003 .

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

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