Abstract
Fixed-time consensus of the heterogeneous multi-agent system, which consisting of first-order and second-order agents with a leader, is studied in this paper. A new control algorithm based on the distributed observer is proposed. By adopting the graph theory, matrix theory, control theory and Lyapunov stability method, some sufficient conditions for the fixed-time consensus and an upper bound of settling time are given. An example is presented to illustrate the potential correctness of the main results.
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