On the Domain Attraction of Fuzzy Neural Networks

In this paper, we study qualitative properties of equilibrium points in a class of interval fuzzy neural networks and obtain an estimate on the domain of robust attraction of locally exponentially stable equilibrium points. Both the conditions and the estimate are formulated in terms of the parameter intervals, so they are verifiable easily.

[1]  Jinde Cao,et al.  An estimation of the domain of attraction and convergence rate for Hopfield continuous feedback neural networks , 2004 .

[2]  Jinde Cao,et al.  Global robust stability of interval neural networks with multiple time-varying delays , 2007, Math. Comput. Simul..

[3]  Jinde Cao,et al.  Estimation on Domain of Attraction and Convergence Rate of Hopfield Continuous Feedback Neural Networks , 2001, J. Comput. Syst. Sci..

[4]  Q. Song,et al.  Global exponential stability of BAM neural networks with distributed delays and reaction–diffusion terms , 2005 .

[5]  Xiaofeng Liao,et al.  Robust exponential stability and domains of attraction in a class of interval neural networks , 2005 .

[6]  Jinde Cao,et al.  Globally exponentially robust stability and periodicity of delayed neural networks , 2004 .

[7]  Xiaofeng Liao,et al.  Robust stability for interval Hopfield neural networks with time delay , 1998, IEEE Trans. Neural Networks.

[8]  Jinde Cao,et al.  Estimation of the Domain of Attraction and the Convergence Rate of a Hopfield Associative Memory and an Application , 2000, J. Comput. Syst. Sci..

[9]  Jinde Cao,et al.  Periodic bidirectional associative memory neural networks with distributed delays , 2006 .

[10]  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).

[11]  LINGNA WANG,et al.  Global robust stability for shunting inhibitory CNNs with delays , 2004, Int. J. Neural Syst..

[12]  Tingwen Huang,et al.  Global stability analysis for delayed neural networks via an interval matrix approach , 2007 .

[13]  Jinde Cao,et al.  Global and Robust Stability of Interval Hopfield Neural Networks with Time-Varying Delays , 2003, Int. J. Neural Syst..

[14]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

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

[16]  Jinde Cao,et al.  Global exponential stability and periodicity of recurrent neural networks with time delays , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Shun-ichi Amari,et al.  Stability of asymmetric Hopfield networks , 2001, IEEE Trans. Neural Networks.

[18]  Jinde Cao,et al.  Existence and stability of almost periodic solution for BAM neural networks with delays , 2003, Appl. Math. Comput..

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

[20]  Leon O. Chua,et al.  Fuzzy cellular neural networks: applications , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[21]  Jinde Cao,et al.  Necessary and sufficient condition for the absolute exponential stability of a class of neural networks with finite delay , 2006 .

[22]  D. J. Evans,et al.  New estimate on the domains of attraction of equilibrium points in continuous Hopfield neural networks , 2006 .