Impulsive generalized synchronization for a class of nonlinear discrete chaotic systems

Cluster anti-consensus in directed networks of multi-agents based on the Q-theory

“…Theorem 1. Consider the system (8). If the digraph G of the network is bipartite and has a directed spanning tree, then the cluster anti-consensus is achieved under the control protocol (9).…”

“…Many different types of synchronization phenomena including projective synchronization, generalized synchronization and lag synchronization have been investigated [6][7][8]. Anti-synchronization is a special type of synchronization which has sparked the interest of many researchers [9,10].…”

Impulsive consensus problem of second-order multi-agent systems with switching topologies

“…It has been proved that impulsive control approach is effective and robust in synchronization of chaotic systems and complex networks [30][31][32][33][34][35]. Compare with the controllers used in adaptive synchronization method, for example in [28,29], the controllers used in impulsive method usually have relatively simple structure.…”

Coordinated development of energy-saving and emission-reduction evolution systems in the Yangtze River delta

“…Adaptive-impulsive synchronisation was studied in driveresponse networks of continuous systems (Sun et al, 2009). There is also work on impulsive generalised synchronisation for a class of non-linear discrete chaotic systems (Zhang and Jiang, 2011). The authors (Khadra et al, 2009) considered a class of autonomous differential systems with linear delay pulse and realised impulsive synchronisation between two coupled systems.…”