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Leader-following consensus of fractional nonlinear multiagent systems. (English) Zbl 1394.93272

Summary: The leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given to guarantee that the leader-following consensus can be achieved in the systems with both single-integrator dynamics and double-integrator dynamics. Finally, the numerical simulations are given to verify the correctness of the presented theory.

MSC:

93D15 Stabilization of systems by feedback
34A08 Fractional ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
93A14 Decentralized systems

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