Leader-Following Consensus of Fractional-Order Uncertain Multi-Agent Systems with Time Delays

This paper investigates the leader-following consensus of fractional-order uncertain multi-agent systems (FOUMASs) with time delays. Based on algebraic graph theory, Lyapunov stability theory, Laplace transform and linear matrix inequalities (LMIs), some sufficient conditions are achieved to realize leader-following consensus of FOUMASs. In addition, such results can be extended to the case of directed topologies and FOUMASs without time delays. Through numerical simulations, the authenticity and validity of results are verified.