Global scaled consensus in finite-time for variable-order multi-agent systems with discontinuous inherent dynamics and switching topologies

This paper investigates the global asymptotic scaled consensus and global finite-time scaled consensus for variable-order multi-agent systems with discontinuous inherent dynamics and switching topologies. Via the switched distributed control schemes, sufficient scaled consensus criteria of multi-agent systems are established. As for global finite-time scaled consensus, the settling time for the consensus of multi-agent systems is explicitly evaluated, which is related to fractional-order derivative, control parameters, and average dwell time. Two simulation examples and one comparison are presented to imply the efficacy of the proposed control strategies.