Abstract
In this paper, we investigate the leader-following consensus problem for high-ordered finite-field networks (FFNs) with time-delays. It is supposed that the dynamics of each agent is described by a linear equation over a finite field Fp, a distributed control is exerted on the followers to track the leader, and the communication delays are also considered. For such time-delayed FFNs, criteria established on system matrices and interaction graphs are obtained for the leader-following consensus under both fixed and switching topologies. Basing on these criteria, the matrix for the distributed control law is designed. At last, an illustrative example is demonstrated.
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