Stochastic Bounded Consensus of Multi‐Agent Systems Regarding Fractional Brownian Motions Through Event‐Triggered Control

ABSTRACT Under fractional Brownian motion disturbances and semi‐Markovian switching topologies, the problem of stochastically bounded consensus is investigated for multi‐agent systems via the event‐triggered control method. For the purpose of saving communication resources, we propose an event‐triggered switching control protocol with respect to the lower bound of each sampling interval and the semi‐Markov process. To deal with fractional Brownian motion disturbances for less conservativeness, a new double‐integral Lyapunov functional is constructed with relation to the Hurst exponent. Utilizing the Schur complement lemma and some other matrix inequalities, the stochastically event‐triggered bounded consensus is proposed. Then the event‐triggering parameters and controller parameters are designed by linear matrix inequalities. Finally, an example is addressed for illustrating the effectiveness of our findings.