Global dissipativity of a class of BAM neural networks with both time-varying and continuously distributed delays

In this paper, the global dissipativity of a class of BAM neural networks with both time-varying and continuously distributed delays is investigated. By constructing Lyapunov functions and employing a generalized Halanay inequality and the linear matrix inequality (LMI), several sufficient easy-to-test conditions for the global dissipativity of the underling system are successfully derived. The results extend and improve some previous publications on conventional BAM neural networks. Moreover, the estimations of the positive invariant set, globally attractive set and globally exponential attractive set are carried out. Finally, examples are given to demonstrate the effectiveness of the obtained results.