Impulsive effect on the delayed Cohen–Grossberg-type BAM neural networks

In the present paper, an impulsive Cohen–Grossberg-type bi-directional associative memory (BAM) neural network with distributed delays is studied. A set of new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self-regulation functions. Applying the results to some special cases, the obtained results generalize some previously known results. A variety of methods are employed to investigate the issue. The approaches are based on Banach fixed point theory, Brower fixed point theory, Laypunov–Kravsovskii functional, homeomorphism theory and the matrix spectral theory. It is believed that these results are helpful for the design and applications of the impulsive Cohen–Grossberg BAM type artificial neural networks.