Consensus of fractional multi-agent systems by distributed event-triggered strategy. (English) Zbl 1439.34034
Summary: In this manuscript, the problem of event-triggered consensus for fractional general linear multi-agent systems is investigated, which include integer-order general linear multi-agent systems as the special case. A distributed event-triggered strategy is proposed to utilize in fractional multi-agent systems, under which the network can achieve consensus. Also, Zeno behavior can be precluded to ensure the feasibility of the devised event-triggered strategy. Furthermore, in order to avoid keeping track of the measurement errors continuously, a self-triggered strategy is designed, in which the next update time instant of each agent can be computed by using its local history state information. Finally, some numerical simulations are presented to indicate the validity of the devised control strategies.
MSC:
| 34B45 | Boundary value problems on graphs and networks for ordinary differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
| 93A16 | Multi-agent systems |
Keywords:
fractional systems; distributed consensus; event-triggered control; multi-agent systems; self-triggered algorithmReferences:
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