title: A new switching control for finite-time synchronization of memristor-based recurrent neural networks.
abstract: In this paper, finite-time synchronization (FTS) of memristor-based recurrent neural networks (MNNs) with time-varying delays is investigated by designing a new switching controller. First, by using the differential inclusions theory and set-valued maps, sufficient conditions to ensure FTS of MNNs are obtained under the two cases of 0<α<1 and α=0, and it is derived that α=0 is the critical value of 0<α<1. Next, it is discussed deeply on the relation between the parameter α and the synchronization time. Then, a new controller with a switching parameter α is designed which can shorten the synchronization time. Finally, some numerical simulation examples are provided to illustrate the effectiveness of the proposed results.
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu 611731, China; College of Science, Southwest Petroleum University, Chengdu 610500, China; Department of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: jiegaoswpu@gmail.com.
authors.forename: Jie
authors.initials: J
authors.lastname: Gao
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu 611731, China.
authors.forename: Peiyong
authors.initials: P
authors.lastname: Zhu
authors.affiliation: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
authors.affiliation: Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Saudi Arabia.
authors.forename: Fuad E
authors.initials: FE
authors.lastname: Alsaadi
authors.affiliation: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013997:Time Factors
keywords: Finite-time synchronization; Memristor-based neural networks; Switching control