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Fixed-time consensus of multi-agent system under time varying topology

In this note, under time varying undirected graph, we discuss fixed-time consensus of multi-agent systems and present one framework for constructing effective distributed protocols, which is continuous and distributed state feedbacks. Based on the theory of fixed-time stability, and we prove that if the sum of time intervals is larger than a given time, and the bounded of initial states is known, the protocol, which is proposed in this note, solves fixed-time consensus problems.