Abstract: “We develop a new approach to the stability analysis of Hopfield-type neural networks with time varying delays in the presence of impulses. With the new approach, we improve and generalize some previous works of other researchers. We study stability of equilibrium points of impulsive systems which are either a generalization of those existing or new. This paper deals with the problem of delaydependent stability criterion of delay-difference system with multiple delays of Hopfield neural networks. Based on quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criteria are found to guarantee delay-dependent asymptotical stability of these systems.”

Keywords: Hopfield neural networks; Time-varying Delay; Stability; Quadratic Lyapunov functional approach.