Impulsive cluster synchronization for complex dynamical networks with packet loss and parameters mismatch

This paper investigates the cluster synchronization ( CS ) for a class of complex dynamical networks (CDNs) with parameters mismatch to the selected cluster pattern. An impulsive control strategy with multiple control gains is proposed. Particularly, the possible packet loss phenomenon in control input is fully considered, and it is characterized by a series of impulse packet loss rate (iPLR) conditions. In terms of the reverse average dwell time (rADT) condition and the average impulse gain method, some sufficient conditions guaran-teing that all the nodes of CDNs can be synchronized to their cluster sets are derived, from which the constraint relationships among rate coefficients, impulsive control law, and iPLR can be revealed. Finally, an example is given to illustrate the correctiveness of our results.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates cluster synchronization in complex dynamical networks with parameter mismatch. A impulsive control strategy with multiple control gains is proposed, considering the possibility of packet loss in control input. Sufficient conditions for synchronization are derived, taking into account the constraint relationships among rate coefficients, impulsive control law, and packet loss rate.