New Criteria of Almost Periodic Solution for BAM Neural Networks with Delays and impulsive Effects

This paper presents some sufficient conditions for the existence and global exponential stability of the almost periodic solution for impulsive bi-directional associative memory neural networks with time-varying delays by using Lyapunov functional and Gronwall-Bellmans inequality technique. Comparing with known literatures, the results of this paper are new and they complement previously known results.

[1]  Yiguang Liu,et al.  On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays , 2006 .

[2]  Yongkun Li.  Global exponential stability of BAM neural networks with delays and impulses , 2005 .

[3]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

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

[5]  Jinde Cao,et al.  Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays , 2007, IEEE Transactions on Neural Networks.

[6]  Jinde Cao,et al.  Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms , 2005 .

[7]  Jinde Cao,et al.  LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay , 2007 .

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

[9]  J. Cao,et al.  Periodic oscillatory solution of bidirectional associative memory networks with delays. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Bingwen Liu,et al.  Almost periodic solutions for Hopfield neural networks with continuously distributed delays , 2007, Math. Comput. Simul..

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

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

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

[14]  Daoyi Xu,et al.  Stability Analysis of Delay Neural Networks With Impulsive Effects , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[15]  Jinde Cao,et al.  Exponential stability of high-order bidirectional associative memory neural networks with time delays , 2004 .

[16]  Jinde Cao,et al.  Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays , 2006 .

[17]  Yiguang Liu,et al.  On the almost periodic solution of generalized Hopfield neural networks with time-varying delays , 2006, Neurocomputing.

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

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

[20]  X. Lou,et al.  Global asymptotic stability of delay BAM neural networks with impulses , 2006 .

[21]  Jinde Cao,et al.  Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients , 2003, Appl. Math. Comput..

[22]  Jinde Cao,et al.  Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays , 2003 .

[23]  Lihong Huang,et al.  Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays , 2007, Appl. Math. Lett..