Boundedness and stability for nonautonomous bidirectional associative neural networks with delay

The paper studies the nonautonomous bidirectional associative neural networks systems with time-varying delays. By applying Lyapunov functional method, introducing many parameters, and combining this with the techniques of inequality analysis, a series of criteria of the uniform ultimate boundedness, global exponential stability, and the existence of periodic solutions are obtained. The results obtained in this paper are new and useful.

[1]  Stephen H. Saperstone,et al.  Functional Differential Equations , 1981 .

[2]  T. A. Burton,et al.  Stability and Periodic Solutions of Ordinary and Functional Differential Equations , 1986 .

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

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

[5]  Bart Kosko,et al.  Unsupervised learning in noise , 1990, International 1989 Joint Conference on Neural Networks.

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

[7]  Xiaofeng Liao,et al.  Stability analysis of bidirectional associative memory with axonal signal transmission delays , 1997 .

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

[9]  Zhang Yi.  QUALITATIVE ANALYSIS OF BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DELAYS , 1999 .

[10]  Zhidong Teng,et al.  Some New Results of Nonautonomous Lotka–Volterra Competitive Systems with Delays☆☆☆ , 2000 .

[11]  Jinde Cao,et al.  On the Exponential Stability and Periodic Solutions of Delayed Cellular Neural Networks , 2000 .

[12]  S. Mohamad.  Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks , 2001 .

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