title: Finite-time boundedness and stabilization of uncertain switched neural networks with time-varying delay.
abstract: This paper deals with the finite-time boundedness and stabilization problem for a class of switched neural networks with time-varying delay and parametric uncertainties. Based on Lyapunov-like function method and average dwell time technique, some sufficient conditions are derived to guarantee the finite-time boundedness of considered uncertain switched neural networks. Furthermore, the state feedback controller is designed to solve the finite-time stabilization problem. Moreover, the proposed sufficient conditions can be simplified into the form of linear matrix equalities for conveniently using Matlab LMI toolbox. Finally, two numerical examples are given to show the effectiveness of the main results.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China; College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China.
authors.forename: Yuanyuan
authors.initials: Y
authors.lastname: Wu
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, 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
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
mesh_terms: D000465:Algorithms; D005246:Feedback; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013997:Time Factors; D035501:Uncertainty
keywords: Average dwell time; Finite-time boundedness; Lyapunov-like function; Switched neural networks; Time-varying delay