Cluster synchronization in directed networks of non-identical systems with noises via random pinning control

Cluster synchronization for directed heterogeneous dynamical networks via decentralized adaptive intermittent pinning control

“…Thus, the following assumption is reasonable [22,[25][26][27][28]35]. (4) has the following block form:…”

“…The control action is hence directly exerted only into pinned nodes and propagates to the uncontrolled nodes through the connections among the nodes [20]. Recently, pinning-control scheme has been generalized to investigate cluster synchronization problems for complex dynamical networks with identical or nonidentical nodes [10,[22][23][24][25][26][27][28]. In [10], by proposing an effective pinning-control scheme, cluster synchronization was concerned for community networks with or without delay.…”

“…Wu et al [27] studied cluster synchronization problem in community network with nonidentical nodes via edge-based adaptive pinning control. Additionally, Hu et al [28] considered cluster synchronization in directed networks of nonidentical systems with noises via random pinning control.…”

Intermittent Control for Cluster‐Delay Synchronization in Directed Networks

“…Based on the two methods mentioned above, many other surveys have been carried out to explore the mysterious mechanisms of chaos synchronization and chaos control. As the study develops in depth, various kinds of synchronization protocols have been put forward and deeply studied, such as complete synchronization [5], exponential synchronization [6,7], projective synchronization [8,9], lag synchronization [10], and cluster synchronization [11][12][13]. The above-mentioned results only discussed synchronization induced by mutual coupling and the intrinsic structure of the network.…”

Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control

“…Synchronization, which is the process in which two or more (coupled) dynamical systems seek to adjust a certain prescribed property of their motions to a common behavior in the limit as time tends to infinity [1], has attracted considerable attentions of numerous scientists from diverse fields including physics, biology, neuroscience, mathematics, chemistry and ecology, etc. And many different kinds of synchronization including complete synchronization, generalized synchronization, phase synchronization and cluster synchronization have been introduced [3][4][5][6].…”