title: Pinning synchronization of coupled inertial delayed neural networks.
abstract: The paper is devoted to the investigation of synchronization for an array of linearly and diffusively coupled inertial delayed neural networks (DNNs). By placing feedback control on a small fraction of network nodes, the entire coupled DNNs can be synchronized to a common objective trajectory asymptotically. Two different analysis methods, including matrix measure strategy and Lyapunov-Krasovskii function approach, are employed to provide sufficient criteria for the synchronization control problem. Comparisons of these two techniques are given at the end of the paper. Finally, an illustrative example is provided to show the effectiveness of the obtained theoretical results.
authors.affiliation: School of Automation, Southeast University, Nanjing, 210096 China.
authors.forename: Jianqiang
authors.initials: J
authors.lastname: Hu
authors.affiliation: Department of Mathematics, Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 China ; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Abdulaziz
authors.initials: A
authors.lastname: Alofi
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Abdullah
authors.initials: A
authors.lastname: Al-Mazrooei
authors.affiliation: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Elaiw
keywords: Inertial delayed neural networks; Lyapunov–Krasovskii function; Matrix measure; Pinning synchronization