EXPONENTIAL STABILITY OF DISCRETE NEURAL NETWORKS WITH NON-INSTANTANEOUS IMPULSES, DELAYS AND VARIABLE CONNECTION WEIGHTS WITH COMPUTER SIMULATION

Abstract

The exponential stability concept for nonlinear non-instantaneous impulsive difference equations with a single delay is studied and some criteria are derived. These results are also applied for a neural networks with switching topology at certain moments and long time lasting impulses. It is considered the general case of time varying connection weights. The equilibrium is defined and exponential stability is studied. The obtained results are illustrated on examples. AMS Subject Classification: 39A30, 39A60