Convergence of fractional-order discrete-time multi-agent systems with a leader

Due to the complexity of the practical environment, many distributed multi-agent systems can be described by the fractional-order dynamics. This paper investigates the convergence of fractional-order discrete-time multi-agent systems with a leader. It is shown that such system can achieve convergence depending on the sampling interval h, the fractional-order α as well as its interconnection topology. Finally, some numerical simulations are given to verify the results.