Global exponential stability of fuzzy BAM neural networks with time-varying delays

Abstract In this paper, a class of fuzzy bidirectional associated memory (BAM) neural networks with time-varying delays are studied. Employing fixed point theorem, matrix theory and inequality analysis, some sufficient conditions are established for the existence, uniqueness and global exponential stability of equilibrium point. The sufficient conditions are easy to verify at pattern recognition and automatic control. Finally, an example is given to show feasibility and effectiveness of our results.

[1]  Qigui Yang,et al.  Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse , 2007 .

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

[3]  Xue-Zhong He,et al.  Delay-independent stability in bidirectional associative memory networks , 1994, IEEE Trans. Neural Networks.

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

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

[6]  Zhenkun Huang,et al.  Existence and globally exponential stability of equilibrium for BAM neural networks with impulses , 2008 .

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

[8]  X. Lou,et al.  Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms , 2006 .

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

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

[11]  Jinde Cao,et al.  Global exponential stability of bidirectional associative memory neural networks with distributed delays , 2007 .

[12]  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).

[13]  Vasile I. Istrăţescu,et al.  Fixed point theory : an introduction , 1981 .

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

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

[16]  Tingwen Huang Exponential stability of fuzzy cellular neural networks with distributed delay , 2006 .

[17]  Juebang Yu,et al.  Qualitative analysis of Bi‐directional Associative Memory with time delay , 1998 .

[18]  Lihong Huang,et al.  Existence and global exponential stability of periodic solution to self-connection BAM neural networks with delays , 2004 .

[19]  Jinde Cao,et al.  Global asymptotic stability of delayed bi-directional associative memory neural networks , 2003, Appl. Math. Comput..

[20]  Jinde Cao,et al.  Exponential stability of BAM neural networks with transmission delays , 2004, Neurocomputing.

[21]  Ju H. Park A novel criterion for global asymptotic stability of BAM neural networks with time delays , 2006 .

[22]  Vedat Tavsanoglu,et al.  Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays , 2005, Neurocomputing.

[23]  Jinde Cao,et al.  Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays , 2006, Neurocomputing.

[24]  Jinde Cao,et al.  New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays , 2007 .

[25]  Hongyong Zhao Global stability of bidirectional associative memory neural networks with distributed delays , 2002 .

[26]  Chen An,et al.  The Global Stability of Fuzzy Cellular Neural Networks , 2001 .

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