Finite-time and sampled-data synchronization of complex dynamical networks subject to average dwell-time switching signal.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a continuous time-delay system using an input delay technique. We obtain some unique and less conservative criteria on exponential stability using the Lyapunov-Krasovskii functional (LKF), which is generated with a Kronecker product, linear matrix inequalities (LMIs), and integral inequality. Furthermore, some sufficient criteria are derived by an average dwell-time method and determine the finite-time boundedness of CDNs with switching signal. The proposed sufficient conditions can be represented in the form of LMIs. Finally, numerical examples are given to show that the suggested strategy is feasible.

Authors

  • Nallappan Gunasekaran
    Computational Intelligence Laboratory, Toyota Technological Institute, Nagoya, 468-8511, Japan. Electronic address: gunasmaths@gmail.com.
  • M Syed Ali
    a Department of Mathematics , Thiruvalluvar University , Vellore , Tamil Nadu , India.
  • Sabri Arik
    Istanbul University, Department of Computer Engineering, 34320 Avcilar, Istanbul, Turkey. Electronic address: arik@istanbul.edu.tr.
  • H I Abdul Ghaffar
    Mechatronics Department, Egyptian-Korean Faculty for Industry and Energy Technology, Banu Suef Technological University, Egypt. Electronic address: abdelghafaribrahim@yahoo.com.
  • Ahmed A Zaki Diab
    Electrical Engineering Department, Faculty of Engineering, Minia University, Egypt. Electronic address: a.diab@mu.edu.eg.