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High-order consensus of heterogeneous multi-agent systems with unknown communication delays. (English) Zbl 1244.93013

Summary: This paper studies the high-order consensus problem for heterogeneous multi-agent systems with unknown communication delays. A necessary and sufficient condition is given for the existence of a high-order consensus solution to heterogeneous multi-agent systems. The condition shows that, for systems with diverse communication delays, high-order consensus does not require the self-delay of each agent to be equal to the corresponding communication delay. When the communication delays are unknown, a simple adaptive adjustment algorithm is presented for on-line adjusting self-delays.

MSC:

93A14 Decentralized systems
68T05 Learning and adaptive systems in artificial intelligence
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