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Leader–Follower Consensus of Multiagent Systems With Time Delays Over Finite Fields

This paper studies the leader–follower consensus of multiagent systems with time delays and switching topology over finite fields. First, an equivalent algebraic form is established for leader–follower multiagent systems with time delays over finite fields. Second, based on the algebraic form, a necessary and sufficient condition is presented for the finite-field leader–follower consensus with time delays. Third, the switching topology case is considered, and a new criterion is presented for the finite-field leader–follower consensus with time delays and switching topology. Finally, an example is worked out to illustrate the obtained results.