Leader-following consensus for a class of fractional-order nonlinear multi-agent systems under fixed and switching topologies
Min Shi, Songlin Hu · 2017
In this paper, the leader-following consensus problem of a class of fractional-order nonlinear multi-agent systems is considered. By using the algebraic graph theory, Lyapunov theory and LMI method of fractional-order systems, the control gain matrix is designed to achieve leader-following consensus under fixed and switching topologies respectively. Furthermore, the convergence rate of the controlled multi-agent systems is studied based on the sense of Mittag-Leffler stability of fractional-order systems. Simulations indicate the effectiveness of the theoretical results.