Abstract

The consensus of fractional-order multi-agent nonlinear systems via distributed impulsive control method is studied in this paper. Based on the theory of impulsive differential equations, algebraic graph theory, Lyapunov stability theory and Mittag-Leffler function, a novel sufficient condition for achieving the consensus of a class of fractional-order multi-agent nonlinear systems are derived. Finally, one numerical simulation is given to illustrate the effectiveness of the proposed methods.

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