Leader‐following consensus of general fractional‐order linear multi‐agent systems via event‐triggered control
Min Shi, Yajuan Yu, Xinghu Teng · The Journal of Engineering · 2018
The leader‐following consensus problem of the general fractional‐order linear multi‐agent systems via event‐triggered control is considered. An effective event‐trigger controller is designed, and then the leader‐following consensus problem of the controlled multi‐agent systems is studied by using the Lyapunov theory of fractional‐order systems and linear matrix inequality method. The consensus condition and the convergence rate of the system are obtained based on the Mittag–Leffler stability of fractional‐order systems. Simulation indicates the effectiveness of the theoretical results.