Stability of nonlinear Volterra equations

Abstract

Using a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear time-varying Volterra difference equations. Furthermore, an explicit stability bound for equations subject to nonlinear time-varying perturbations is given. Finally, the obtained results are used to study uniform attraction of equilibrium of discrete-Time bidirectional associative memory (BAM) neural networks. Some illustrative examples are given.