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Consensus of fractional-order multi-agent systems via LMI approach

This paper investigates the consensus control problem of linear and nonlinear multi-agent systems, where the dynamics of each agent is represented by a fractional-order differential equation, respectively. By using the fractional Lyapunov direct method and matrix theory, some sufficient conditions are presented to ensure that the states of the followers can asymptotically converge to the leader, and the feedback matrix of the proposed protocol is also determined according to linear matrix inequalities (LMIs) formulation. A simulation example is provided to demonstrate the effectiveness of the obtained theoretical results.