Novel global exponential stability criterion for BAM neural networks with time-varying delays

This paper concerns with the uniqueness and global exponential stability of the equilibrium point of BAM neural networks with time-varying delays. By applying M-matrix theory, inequality technique and reduction to absurdity, sufficient conditions are obtained. A numerical example is provided to illustrate the effectiveness of the obtained results.

[1]  Hongyong Zhao,et al.  Exponential stability and periodic oscillatory of bi-directional associative memory neural network involving delays , 2006, Neurocomputing.

[2]  Ralph R. Martin,et al.  Global Exponential Stability of Bidirectional Associative Memory Neural Networks With Time Delays , 2008, IEEE Transactions on Neural Networks.

[3]  Jinde Cao,et al.  Exponential stability and periodic oscillatory solution in BAM networks with delays , 2002, IEEE Trans. Neural Networks.

[4]  Jinde Cao,et al.  Global exponential stability of delayed cellular neural networks with impulses , 2007, Neurocomputing.

[5]  Jinde Cao,et al.  Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays , 2003 .

[6]  Li Sun,et al.  Periodic oscillation of discrete-time bidirectional associative memory neural networks , 2007, Neurocomputing.

[7]  Nan Ding,et al.  Dynamic analysis of stochastic bidirectional associative memory neural networks with delays , 2007 .

[8]  Xuyang Lou,et al.  On the global robust asymptotic stability of BAM neural networks with time-varying delays , 2006, Neurocomputing.

[9]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[10]  Jitao Sun,et al.  Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis , 2008, Neurocomputing.

[11]  Jia Liu,et al.  New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type , 2009, Neurocomputing.

[12]  Zidong Wang,et al.  Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays , 2008 .

[13]  Bingwen Liu,et al.  Global exponential stability of BAM neural networks with recent-history distributed delays and impulses , 2006, Neurocomputing.

[14]  Jinde Cao,et al.  Exponential stability of delayed bi-directional associative memory networks , 2003, Appl. Math. Comput..

[15]  B Kosko,et al.  Adaptive bidirectional associative memories. , 1987, Applied optics.

[16]  Sabri Arik,et al.  Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays , 2005, IEEE Transactions on Neural Networks.