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In this paper, cluster consensus in continuous-time networks of multi-agentswith time-varying topologies via non-identical inter-cluster inputs is studied.The cluster consensus contains two aspects: intra-cluster synchronization, thatthe state differences between agents in the same cluster converge to zero, andinter-cluster separation, that the states of the agents in different clustersdo not approach. $\delta$-cluster-spanning-tree in continuous-time networks ofmulti-agent systems plays essential role in analysis of clustersynchronization. Inter-cluster separation can be realized by imposing adaptiveinputs that are identical within the same cluster but different in differentclusters, under the inter-cluster common influence condition. Simulationexamples demonstrate the effectiveness of the derived theoretical results.

Achieving Cluster Consensus in Continuous-Time Networks of Multi-Agents With Inter-Cluster Non-Identical Inputs