H∞ Consensus for Multiagent Systems with Heterogeneous Time‐Varying Delays

Beibei Wang and Yuangong Sun

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We apply the linear matrix inequality method to consensus and H∞ consensus problems of the single integrator multiagent system with heterogeneous delays in directed networks. To overcome the difficulty caused by heterogeneous time‐varying delays, we rewrite the multiagent system into a partially reduced‐order system and an integral system. As a result, a particular Lyapunov function is constructed to derive sufficient conditions for consensus of multiagent systems with fixed (switched) topologies. We also apply this method to the H∞ consensus of multiagent systems with disturbances and heterogeneous delays. Numerical examples are given to illustrate the theoretical results.

Date: 2013
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https://doi.org/10.1155/2013/576290

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:576290

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