Neural networks with memory

This paper is divided into four parts. Part 1 contains a survey of three neural networks found in the literature and which motivate this work. In Part 2 a neural network with a very general integral form of memory is modeled, a boundedness result proved, and a first result on asymptotic stability of equilibrium points is obtained. In the third section it is shown that the neural networks are very robust. The fourth section concerns simplification of the systems for the second part. Several asymptotic stability results are obtained for the simplified systems.