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access icon openaccess Leader-following consensus of general fractional-order linear multi-agent systems via event-triggered control

The leader-following consensus problem of the general fractional-order linear multi-agent systems via event-triggered control is considered. An effective event-trigger controller is designed, and then the leader-following consensus problem of the controlled multi-agent systems is studied by using the Lyapunov theory of fractional-order systems and linear matrix inequality method. The consensus condition and the convergence rate of the system are obtained based on the Mittag–Leffler stability of fractional-order systems. Simulation indicates the effectiveness of the theoretical results.

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http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2017.0811
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