Cluster Synchronization of Finite-Field Networks
Lin Lin, Jinde Cao, Xiaoxu Liu, Guoping Lü, Mahmoud Abdel‐Aty
Abstract
This technical paper investigates the cluster synchronization of finite-field networks (FFNs) based on the algebraic state space representation. By resorting to the semi-tensor product of matrices, the cluster synchronization of an FFN can be completely converted into the set stability of state trajectory. Then, a necessary and sufficient condition for the cluster synchronization of FFNs is obtained based on the invariant subset and one-step transition matrix. In particular, the obtained results are applicable to check the leader-follower synchronization and group consensus of FFNs. Finally, a numerical example is given to illustrate the feasibility of the obtained results.
Topics & Concepts
Synchronization (alternating current)Computer scienceCluster (spacecraft)Topology (electrical circuits)MathematicsCombinatoricsProgramming languageNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationGene Regulatory Network Analysis