Some Necessary and Sufficient Conditions for Consensus of Fractional-Order Multi-agent Systems with Input Delay and Sampled Data

摘要

In this paper, the consensus of fractional-order multi-agent systems subject to input delay is investigated by sampled data method on directed graph. By applying the Laplace transform and the technique of inequality, some necessary and sufficient conditions for achieving consensus of the delay systems are obtained. It is shown that the consensus of the delay systems has relationships with the order of the derivative, the sampling period, delay, coupling strength, and communication topology. Lastly, a numerical simulation is given to illustrate the theoretical results.