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\(H_\infty\) consensus for multiagent systems with heterogeneous time-varying delays - MaRDI portal

\(H_\infty\) consensus for multiagent systems with heterogeneous time-varying delays (Q2015761)

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scientific article; zbMATH DE number 6307018
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\(H_\infty\) consensus for multiagent systems with heterogeneous time-varying delays
scientific article; zbMATH DE number 6307018

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    \(H_\infty\) consensus for multiagent systems with heterogeneous time-varying delays (English)
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    23 June 2014
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    Summary: We apply the linear matrix inequality method to consensus and \(H_\infty\) 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 \(H_\infty\) consensus of multiagent systems with disturbances and heterogeneous delays. Numerical examples are given to illustrate the theoretical results.
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