title: Further analysis of global μ-stability of complex-valued neural networks with unbounded time-varying delays.
abstract: In this paper, we consider the problem of global μ-stability for complex-valued neural networks (CVNNs) with unbounded time-varying delays and it has been widely investigated. Under mild conditions, some new sufficient conditions for global μ-stability of considered CVNNs are derived. Moreover, some new sufficient conditions are obtained to ensure the global μ-stability of CVNNs in the form of complex-valued LMIs as well as real-valued LMIs by using an appropriate Lyapunov-Krasovskii functional and linear matrix inequalities (LMIs). Both of complex-valued LMIs as well as real-valued LMIs are easily solved by using standard numerical algorithms. Finally, two numerical examples are presented to demonstrate the effectiveness and usefulness of our theoretical results.
authors: Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India.
authors: G
authors: G
authors: Velmurugan
authors: Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamilnadu, India.
authors: R
authors: R
authors: Rakkiyappan
authors: 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: Jinde
authors: J
authors: Cao
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D013269:Stochastic Processes
keywords: Complex-valued Neural Networks (CVNNs); Global -stability; Linear Matrix Inequality (LMI); Unbounded time-varying delays