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.

Original language	en
Pages (from-to)	11277-11284
Volume	32
Issue number	15
Publication status	Published - 2020