Aiming at the coordination tracking control problem of fractal-order multi-agent system,firstly,the Caputo fractional-order concept and the proof method are introduced,the consensus control algorithm of leader-following multi-agent system is adopted,and the parameters to be designed in the control algorithm are solved by linear matrix inequality(LMI)to ensure that all agent states can eventually converge to the expected target value.Then,by using Lyapunov stability theory,algebraic graph theory and other methods,we get the sufficient conditions for the fractional-order multi-agent system to achieve the lead-following consensus.Finally,the validity of the theoretical results is verified by numerical simulation.
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