Leader–follower output consensus of multiagent systems over finite fields

Abstract

This paper studies the output consensus problem of leader–follower multiagent systems (MASs) over finite fields via semi-tensor product (STP). First, the leader–follower MASs over finite fields are modeled as algebraic form, based on which, the output consensus problem is transformed into the set stabilization problem about the systems with algebraic form. Second, all the output feedback control invariant sets (OFCISs) are calculated from the state feedback maximum control invariant set (SFMCIS). Third, some criteria of the output consensus as well as the design method of output feedback controller are presented by the truth matrix technique. Finally, an example is shown to demonstrate the effectiveness of the results.