An improved global asymptotic stability criterion for delayed cellular neural networks

A new Lyapunov-Krasovskii functional is constructed for delayed cellular neural networks, and the S-procedure is employed to handle the nonlinearities. An improved global asymptotic stability criterion is also derived that is a generalization of, and an improvement over, previous results. Numerical examples demonstrate the effectiveness of the criterion.

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

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

[3]  Leon O. Chua,et al.  Stability and dynamics of delay-type general and cellular neural networks , 1992 .

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

[5]  Vladimir A. Yakubovich,et al.  Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

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

[7]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

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

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

[10]  Teh-Lu Liao,et al.  Global stability for cellular neural networks with time delay , 2000, IEEE Trans. Neural Networks Learn. Syst..

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

[12]  Kwok-Wo Wong,et al.  Novel stability conditions for Cellular Neural Networks with Time Delay , 2001, Int. J. Bifurc. Chaos.

[13]  Jinde Cao Global stability conditions for delayed CNNs , 2001 .

[14]  Xiaofeng Liao,et al.  (Corr. to) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach , 2002, Neural Networks.

[15]  X. Liao,et al.  Stability analyses of cellular neural networks with continuous time delay , 2002 .

[16]  Sabri Arik,et al.  An analysis of global asymptotic stability of delayed cellular neural networks , 2002, IEEE Trans. Neural Networks.

[17]  S. Arik An improved global stability result for delayed cellular neural networks , 2002 .

[18]  Ranulfo Romo,et al.  Basic mechanisms for graded persistent activity: discrete attractors, continuous attractors, and dynamic representations , 2003, Current Opinion in Neurobiology.

[19]  Jun Wang,et al.  Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays , 2003 .

[20]  Vimal Singh,et al.  A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks , 2004, IEEE Transactions on Neural Networks.

[21]  S. Arik,et al.  New exponential stability results for delayed neural networks with time varying delays , 2004 .

[22]  Sabri Arik,et al.  An analysis of exponential stability of delayed neural networks with time varying delays , 2004, Neural Networks.

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

[24]  Xiaofeng Liao,et al.  A note on the robust stability of neural networks with time delay , 2005 .

[25]  Xin-Ping Guan,et al.  Stability of Cellular Neural Networks with Time Varying Delay , 2010, 2008 Fourth International Conference on Natural Computation.