Coexistence and local exponential stability of multiple equilibria in memristive neural networks with a class of general nonmonotonic activation functions

Abstract

This paper addresses the multistability problem of n-dimensional memristive neural networks with a class of general nonmonotonic activation functions. Sufficient conditions are proposed for checking the existence of (2l +3)n equilibria, of which (l +2)n equilibria are locally exponentially stable. The obtained stability results improve and extend the existing ones. One numerical example is given to illustrate the effectiveness of the obtained results.