Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays

Employing linear matrix inequality (LMI) and general Lyapunov-Krasovskii functional, the global exponential stability and the existence of periodic solutions are studied for fuzzy cellular neural networks (FCNNs) with time-varying delays in this paper. Several new sufficient conditions are derived for checking global exponential stability and the existence of periodic solutions of the delayed FCNNs. Moreover, an illustrate example is given to show the effectiveness of obtained results.

[1]  Jinde Cao A set of stability criteria for delayed cellular neural networks , 2001 .

[2]  Cao Jinde,et al.  Exponential stability and periodic solutions of delayed cellular neural networks , 2000 .

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

[4]  Jin Xu,et al.  An improved result for complete stability of delayed cellular neural networks , 2005, Autom..

[5]  Jinde Cao,et al.  Global asymptotic and robust stability of recurrent neural networks with time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[6]  Jinde Cao,et al.  On the Exponential Stability and Periodic Solutions of Delayed Cellular Neural Networks , 2000 .

[7]  Jinde Cao,et al.  Boundedness and stability for recurrent neural networks with variable coefficients and time-varying delays , 2003 .

[8]  Jinde Cao,et al.  Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay , 2003 .

[9]  Zhigang Zeng,et al.  Stability analysis of delayed cellular neural networks described using cloning templates , 2004, IEEE Trans. Circuits Syst. I Regul. Pap..

[10]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

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

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

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

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

[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 Global stability conditions for delayed CNNs , 2001 .

[17]  Jinde Cao,et al.  A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach , 2005 .

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

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

[20]  L. Chua Cnn: A Paradigm for Complexity , 1998 .