Distributed Event-Triggered Impulsive Tracking Control for Fractional-Order Multiagent Networks

The constraints of communication channel resources and control energies always lie in real networks, which bring large error and cause adverse affects on system performance, ultimately. To address these limitations, in this article, a distributed event-triggered impulsive control strategy for the consensus problem of fractional-order multiagent networks (FOMANs) is investigated. By collecting the local instantaneous access information, the distributed tracking algorithm with a novel triggering condition is proposed, which is available for both linear and nonlinear systems. Combining with general quadratic Lyapunov stability method and discontinuous control theory, the sufficient conditions of consensus in terms of gain parameter and impulsive interval are derived. Furthermore, the minimal length of interevent is proven to be strictly greater than zero, which guarantees the nonexistence of Zeno-behavior in the closed-loop system. In addition, the implementation of the fractional order algorithm, the quantitative relationship between fractional order
$\alpha $
or parameter
$a$
in the triggering function, and the number of event-triggered impulsive instants are discussed. At the end of this article, two illustrative examples with numerical and circuit simulations are provided to validate the effectiveness of above results.