Stability and global dissipativity for neutral-type fuzzy genetic regulatory networks with mixed delays

Abstract

In this article, the stability and global dissipativity for neutral-type fuzzy genetic regulatory networks (FGRNs) with mixed time delays are investigated. By using Lyapunov functional method and linear matrix inequalities (LMIs) techniques, new sufficient conditions ensuring the stability and global dissipativity of the considered system are given. Moreover, the globally attractive set and positive invariant set are also presented here. The derived criteria are of the form of LMI and they can be checked by the numerically effect Matlab LMI toolbox. Lastly, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results. The derived results of this article are new and complement many earlier works and the ideas of this work can be applied to investigate other similar systems.