Cluster Synchronization of Coupled Systems with Nonidentical Linear Dynamics

摘要: This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical render control design and coupling conditions highly correlated if static couplings used for all individual systems. In this paper, a dynamic structure, which incorporates global weighting factor vanishing auxiliary variable, is proposed each agent shown to be feasible solution. Lower bounds on local factors derived under condition that every interaction subgraph associated with admits directed spanning tree. The tree requirement further necessary when clusters connect acyclicly other. Simulations two applications, heading alignment ships phase harmonic oscillators, illustrate essential parts theoretical results.