PROJECT TITLE :

Cluster synchronisation in non-linearly coupled impulsive networks with non-identical nodes and time-varying delays

ABSTRACT:

This study investigates cluster synchronisation of non-linearly coupled impulsive networks with time-varying delay. While not loss of generality, it is assumed that the nodes within the networks to be non-identical and therefore the coupling matrix to be uneven. 2 types of topological structures are involved, that correspond to positive weighted network, as well as cooperative and competitive network, respectively. Pinning controllers are designed in order to realize cluster synchronisation. According to the Lyapunov stability theory, impulsive delay differential inequalities and linear matrix inequalities, some criteria for cluster synchronisation of non-linear impulsive dynamical systems are obtained. 2 numerical examples are given to demonstrate the effectiveness of the authors' new results.