Abstract
This work investigates the synchronization problem of a dynamical network with multi-links, where each node is assumed to be nonlinear and the couplings are involved with different discrete delays. In order to reduce the control cost, an intermittent pinning controller is applied. By using a generalized Halanay-type inequality, a main theorem for ensuring synchronization is established, revealing the interplay between the average of the smallest eigenvalue of certain matrix, node dynamics and the heterogeneous delays. Besides, the largest admissible delay can also be estimated. In specific, some intermittent pinning control strategies are further studied as applications. Unlike existing works on intermittent pinning control, our work removes the common restriction on the control ratio over each single control period, exhibiting good generality and tractability. Numerical simulations are also given for demonstration purpose.
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.
