Passivity of fractional-order coupled neural networks with interval uncertainties

Abstract

This paper is mainly devoted to analyzing the passivity of two classes of uncertain fractional-order coupled neural networks (FCNNs) with different coupling dynamics. Compared with most FCNNs whose coupling dynamic is state coupling, a more generalized FCNN model with output coupling and interval uncertainties is proposed, which can treat the former as its special case. In addition, based on the linear matrix inequality technique, not only the passivity of FCNNs is discussed, but also several sufficient conditions that ensure input-strict passivity and output-strict passivity are given simultaneously. Not only that, the sufficient condition guaranteeing output-strict passivity can also realize the synchronization of FCNNs without input. Finally, two numerical simulations are provided to illustrate the rationality of the derived theoretical results.