Leader-following consensus of fractional-order multi-agent systems under fixed topology

Multiconsensus of fractional-order uncertain multi-agent systems

“…The consensus problem of fractional-order uncertainty dynamics has been addressed in [14], where a distributed static output feedback protocol has been proposed. The leader-following consensus problem of fractional-order multi-agent systems was considered in [15], in which the dynamics of each agent and leader were nonlinear systems.…”

Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies

“…In [13], based on the connectivity of the graph and Riccati equation, the control gain matrix was designed and a sufficient condition on leader-following consensus of FMASs with general linear models was obtained. In [14,15], the authors studied the leader-following consensus of FMASs with nonlinear dynamics by Lyapunov direct method, respectively. In [16], based on the properties of Mittag-Leffler function, matrix theory, and stability theory of fractionalorder differential equations, some sufficient conditions on consensus were derived to guarantee the consensuses of linear and nonlinear FMASs for any bounded input time delay.…”

Robust consensus of fractional-order multi-agent systems with positive real uncertainty via second-order neighbors information

“…Therefore, it is more interesting to investigate the consensus or synchronization and finite time stability problems of fractional-order systems [18,19]. However, few works have been devoted to consensus algorithm for fractional-order dynamics systems [20][21][22][23][24][25][26][27][28]. To the best of our knowledge, the consensus of fractional-order systems was first investigated in [20].…”

“…For fractional-order heterogeneous agents, distributed state feedback consensus protocols were constructed in [27]. The leader-following consensus problem of fractional-order multi-agent systems is considered in [28] by using algebraic graph theory and Lyapunov method.…”