title: Finite-time synchronization of fractional-order memristor-based neural networks with time delays.
abstract: In this paper, we consider the problem of finite-time synchronization of a class of fractional-order memristor-based neural networks (FMNNs) with time delays and investigated it potentially. By using Laplace transform, the generalized Gronwall's inequality, Mittag-Leffler functions and linear feedback control technique, some new sufficient conditions are derived to ensure the finite-time synchronization of addressing FMNNs with fractional order α:1<α<2 and 0<α<1. The results from the theory of fractional-order differential equations with discontinuous right-hand sides are used to investigate the problem under consideration. The derived results are extended to some previous related works on memristor-based neural networks. Finally, three numerical examples are presented to show the effectiveness of our proposed theoretical results.
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India. Electronic address: gvmuruga@gmail.com.
authors.forename: G
authors.initials: G
authors.lastname: Velmurugan
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India. Electronic address: rakkigru@gmail.com.
authors.forename: R
authors.initials: R
authors.lastname: Rakkiyappan
authors.affiliation: Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, Jiangsu, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: jdcao@seu.edu.cn.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
mesh_terms: D000465:Algorithms; D005246:Feedback; D016014:Linear Models; D016571:Neural Networks, Computer
keywords: Finite-time synchronization; Fractional-order neural networks; Memristor; Time delays