Multistability of switched complex-valued neural networks with state-dependent switching rules

Abstract

The paper focuses on the multistability problems of the switched complex-valued neural networks with state-dependent switching rules. Based on the differential inclusions theory and fixed point theorem, several sufficient conditions are derived to ascertain that there exist 25n equilibria, 9n of which are locally ex for n-neuron switched complex-valued neural networks. The number of stable equilibria of an n-neuron switched complex-valued neural network increases significantly from 4n to 9n compared with the conventional complex-valued neural networks. Finally, four numerical examples are presented to substantiate the theoretical results.