Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays

In this paper, stability is considered for a class of fuzzy cellular neural networks with distributed delay (FCNNDD). The condition for feedback kernel is minimal: the only condition required is that ∫0τk(s)ds=1. Significant for applications of neural networks, the stability of FCNNDD is discussed when ττ is finite and infinite. Exponential stability is obtained with distributed delay in finite time, while asymptotic stability is obtained with distributed delay in infinite time.