L2 − L∞ Consensus Control for High‐Order Multi‐Agent Systems with Nonuniform Time‐Varying Delays

This paper considers consensus problem for high-order multi-agent systems with dynamically changing topologies and nonuniform time-varying delays. By means of the tree-type transformation approach, the model transformation is conducted and the consensus problem is converted into an L2 − L∞ control problem of equivalent reduced-order systems. Furthermore, a Lyapunov-Krasovkii function is constructed for stability analysis and sufficient conditions in terms of linear matrix inequalities are derived to ensure the consensus with the prescribed L2 − L∞ performance. A numerical simulation is provided to verify the correctness of the theoretical results.

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