Group consensus of multi-agent systems with communication delays
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文摘
In this paper, we investigate group consensus problems for continuous-time multi-agent systems with time delays, where the agents׳ dynamics are controlled based on information from their neighbors at some discrete time instants. By utilizing nonnegative matrix theory and graph theory, the case with fixed topology and time-invariant delays is first considered, then the general case with switching topologies and time-varying delays is discussed. Some group consensus criteria are obtained in both cases, it is also shown that the agents in nonzero in-degree groups finally converge to the convex hull of those in zero in-degree groups. Simulation examples are provided to demonstrate the effectiveness of the theoretical results.

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