Abstract and Applied Analysis

H Consensus for Multiagent Systems with Heterogeneous Time-Varying Delays

Beibei Wang and Yuangong Sun

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 576290, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449968

Digital Object Identifier
doi:10.1155/2013/576290

Mathematical Reviews number (MathSciNet)
MR3129365

Zentralblatt MATH identifier
1291.93006

Citation

Wang, Beibei; Sun, Yuangong. ${H}_{\infty }$ Consensus for Multiagent Systems with Heterogeneous Time-Varying Delays. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 576290, 8 pages. doi:10.1155/2013/576290. https://projecteuclid.org/euclid.aaa/1393449968


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