Many systems existing in physics, chemistry, biology, engineering, and info
rmation science can be characterized by impulsive dynamics caused by abrupt
jumps at certain instants during the process. These complex dynamical beha
viors can be modeled by impulsive differential systems or impulsive neural
networks. This paper formulates and studies a new model of impulsive autoas
sociative neural networks. Several fundamental issues, such as global expon
ential stability and existence and uniqueness of equilibria of such neural
networks, are established. (C) 2000 Elsevier Science Ltd. All rights reserv
ed.