This paper is concerned with the global leader-following consensus issue for fractional-order nonlinear multi-agent systems, where the inherent dynamics is modeled to be discontinuous, and subject to nonlinear growth. A new nonlinear control protocol, which includes discontinuous factors, is designed to realize the global leader-following consensus goal. Under fractional Filippov differential inclusion framework, by applying fractional Lyapunov functional approach and Clarke’s non-smooth analysis technique, the sufficient conditions with respect to the global consensus in finite time is achieved. In addition, the upper bound of the setting time is explicitly evaluated for the global leader-following consensus in finite time. Finally, two examples are performed to verify the feasibility of the proposed control protocol and the validity of the theoretical results.
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