A Memristive Neural Networks Described by Differential-Algebraic Systems

Differential-algebraic neural networks is established by using the current-voltage characteristic of the mem-ristor. The basic problem of this new neural networks are investigated, such as the existence and uniqueness problem and the stability problem. In addition, a numerical example and simulation are given to show the effectiveness of the our results. The approach and results of the paper have a leading significance in the design and study of memristive neural networks and differential-algebraic neural networks.