Exponential stability for nonautonomous neural networks with variable delays

Abstract In this paper, by utilizing a delay differential inequality and combining with inequality analysis technique, we investigate global exponential stability for nonautonomous neural networks with variable delays. Some new sufficient conditions ensuring global exponential stability are obtained. An example is also given to demonstrate the effectiveness of the obtained results.

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

[2]  R. Westervelt,et al.  Stability of analog neural networks with delay. , 1989, Physical review. A, General physics.

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

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

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

[7]  Qiang Zhang,et al.  On global exponential stability of nonautonomous delayed neural networks , 2005 .

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

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

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

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

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

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

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

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

[16]  Qiang Zhang,et al.  New stability conditions for neural networks with constant and variable delays , 2005 .

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

[18]  A. Mukherjea,et al.  Real and Functional Analysis , 1978 .

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

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

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

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

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

[24]  Jun Wang,et al.  Global exponential stability of a general class of recurrent neural networks with time-varying delays , 2003 .

[25]  Amir F. Atiya,et al.  How delays affect neural dynamics and learning , 1994, IEEE Trans. Neural Networks.

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

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

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