Distributed consensus of non‐linear fractional‐order multi‐agent systems with directed topologies
Ping Gong · IET Control Theory and Applications · 2016
In this study, Mittag–Leffler stability and the fractional Lyapunov direct method are used to study fractional‐order leaderless and leader‐following consensus algorithms with non‐linear dynamics under a directed network topology. The sufficient conditions are given to guarantee that the consensus can be achieved in the non‐linear fractional‐order systems with and without a virtual leader, and the adaptive feedback control protocols are also given in this study. Finally, some numerical simulations are presented to demonstrate the effectiveness of the theoretical results.