GLOBAL CONVERGENCE OF HOPFIELD NETWORKS IN PARTIAL SIMULATANEOUS UPDATE MODE

Abstract

This paper presents new stability conditions for Hopfield networks in partial simultaneous updating (PSU) mode. First, an example is given to demonstrate that oscillation may occur even if one use a connection matrix satisfying the conditions derived in [3]. Then, new sufficient conditions ensuring global convergence of a Hopfield network in PSU mode are given. The obtained results permit a little relaxation on the lower bound of the main diagonal elements of the connection matrix.