Abstract
The guaranteed performance of the consensus control for general linear multi-agent systems with Lipschitz nonlinear dynamics and directed interaction topologies is investigated, where the directed interaction topology contains a spanning tree. By a special matrix transformation, the guaranteed performance consensus problems are transferred into guaranteed performance stabilization problems. Then, the criterions of guaranteed performance consensus for nonlinear multi-agent systems with directed interaction topologies are obtained and an upper bound of the introduced performance function is given. Finally, a numerical simulation is given to illustrate the effectiveness of the obtained conclusion.
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