Abstract
In this paper, global exponential synchronization of a class of discrete delayed complex networks with switching topology has been investigated by using Lyapunov-Ruzimiki method. The impulsive scheme is designed to work at the time instant of switching occurrence. A time-varying delay-dependent criterion for impulsive synchronization is given to ensure the delayed discrete complex networks switching topology tending to a synchronous state. Furthermore, a numerical simulation is given to illustrate the effectiveness of main results
Highlights
It has long been understood that many physical, social, biological, and technological networks are modeled by a graph with non-trivial topological features
In this paper, global exponential synchronization of a class of discrete delayed complex networks with switching topology has been investigated by using Lyapunov-Ruzimiki method
A time-varying delay-dependent criterion for impulsive synchronization is given to ensure the delayed discrete complex networks switching topology tending to a synchronous state
Summary
It has long been understood that many physical, social, biological, and technological networks are modeled by a graph with non-trivial topological features. The large time-varying delays may exist in switching topology which means data communication may occur in different sub-networks It is much more complicated than previous studies. If the mutable topology and a large time-varying delay occur simultaneously in the discrete complex networks, it would be difficult to employ previous synchronization control schemes. We proposed an impulsive synchronization scheme for a state delayed discrete complex network with switching topology. For this control scheme, we consider that the impulsive control signal is designed to be input into all of nodes.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
