title: Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay.
abstract: As we know, the notion of dissipativity is an important dynamical property of neural networks. Thus, the analysis of dissipativity of neural networks with time delay is becoming more and more important in the research field. In this paper, the authors establish a class of fractional-order complex-valued neural networks (FCVNNs) with time delay, and intensively study the problem of dissipativity, as well as global asymptotic stability of the considered FCVNNs with time delay. Based on the fractional Halanay inequality and suitable Lyapunov functions, some new sufficient conditions are obtained that guarantee the dissipativity of FCVNNs with time delay. Moreover, some sufficient conditions are derived in order to ensure the global asymptotic stability of the addressed FCVNNs with time delay. Finally, two numerical simulations are posed to ensure that the attention of our main results are valuable.
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamil Nadu, India.
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, SSN College of Engineering, Chennai-600 004, Tamil Nadu, India.
authors.forename: V
authors.initials: V
authors.lastname: Vembarasan
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
authors.affiliation: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Alsaedi
mesh_terms: D000465:Algorithms; D019359:Knowledge; D016571:Neural Networks, Computer; D013997:Time Factors
keywords: Asymptotic stability; Complex-Valued Neural Networks (CVNNs); Dissipativity; Fractional Halanay inequality; Fractional-order; Time delay