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On the Convergence of a Leader-Following Discrete-Time Consensus Protocol

A discrete-time consensus protocol with the leader-following control is proposed, which is for agents to follow either static or time-varying reference state of the leader. An agent updates its state based on only the current information available from its neighbors. To estimate the consensus convergence, the eigenvalues are investigated by the Gershgorin’s theorem, and simulations will be given to show the effectiveness of the proposed consensus protocol.