Consensus of fractional-order multi-agent systems via event-triggered pinning impulsive control

Abstract

In this paper, the consensus of fractional-order multi-agent systems is studied. By utilizing the unique properties of fractional-order calculus, namely hereditary and infinite memory, a new design scheme of the event-triggered pinning impulsive control strategy is proposed. Compared with the fixed pinning technique, the pinning agents here can be variable at each impulsive instant based on the considered two pinning rules (i.e., selecting randomly and according to the distances of error states). With the introduced rules, sufficient conditions are derived for consensus of systems, and the Zeno behavior is also excluded. Finally, our results show that the distance-ordered pinning can be achieved faster than the one with randomly pinning selection, and the inner impulsive gain of the impulsive controller can not be too large.