Leader-following consensus for fractional multi-agent systems
Ricardo Almeida, Ewa Girejko, Snezhana G. Hristova, Agnieszka B. Malinowska · Advances in Difference Equations · 2019
A leader-following consensus for Caputo fractional multi-agent systems with nonlinear intrinsic dynamics is investigated. The second Lyapunov method is used to design a control protocol ensuring a consensus for two types of multi-agent systems. Contrary to the previous studies on leader-following consensus, the investigation covers systems with bounded and unbounded time-dependent Lipschitz coefficients in the intrinsic dynamics. Moreover, coupling strength describing the interactions between agents is considered to be a function of time.