Positive invariant sets and global exponential attractive sets of BAM neural networks with time-varying and infinite distributed delays
In this paper, the problem on positive invariant sets and global exponential attractive sets for a class of BAM neural networks with time-varying and infinite distributed delays is discussed. By virtue of appropriate Lyapunov-like functions and some inequality techniques, some algebraic criterions in linear matrix inequality form for the existence of positive invariant sets and global exponential attractive sets are obtained. Meanwhile, the estimations of the global exponential attractive sets are given out. The results derived here generalize and improve the earlier publications by removing the usual assumptions for the boundedness, monotonicity and differentiability on the activation functions. Finally, one numerical example is given and analyzed to demonstrate our results.
positive invariant sets global exponential attractive sets bam neural network infinite distributed delays linear matrix inequality