Global exponential stability for nonautonomous cellular neural networks with delays

In this Letter, by utilizing Lyapunov functional method and Halanay inequalities, we analyze global exponential stability of nonautonomous cellular neural networks with delay. Several new sufficient conditions ensuring global exponential stability of the network are obtained. The results given here extend and improve the earlier publications. An example is given to demonstrate the effectiveness of the obtained results.

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

[2]  Qiang Zhang,et al.  Stability of cellular neural networks with delay , 2001 .

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

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

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

[6]  Zhidong Teng,et al.  Boundedness and stability for nonautonomous cellular neural networks with delay , 2003 .

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

[8]  S. Mohamad.  Convergence Dynamics of Delayed Hopfield-Type Neural Networks Under Almost Periodic Stimuli , 2003 .

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

[10]  Tianping Chen,et al.  Global exponential stability of delayed Hopfield neural networks , 2001, Neural Networks.

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

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

[13]  Jinde Cao.  Periodic oscillation and exponential stability of delayed CNNs , 2000 .

[14]  H Lu.  Stability criteria for delayed neural networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

[17]  Zhang Yi,et al.  Global exponential stability and periodic solutions of delay Hopfield neural networks , 1996, Int. J. Syst. Sci..

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

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

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

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