Abstract
Abstract This paper studies the stochastic leader-following consensus control problem for a group of agents with general linear dynamics. The communication graph among agents is assumed to be randomly switching and the switching process is governed by a continuous-time Markov process. To solve the stochastic consensus problem, a fully distributed consensus protocol is proposed, which solely requires the immediate local information of each node to update the control input. The effectiveness of the consensus algorithm is demonstrated by realizing a leader-follower formation task.
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