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Distributed H_{infinity} Coordination of Multi-agent Systems with Directed Switching Topology and Time-delay
Journal Title Journal of Computers
Journal Abbreviation jcp
Publisher Group Academy Publisher
Website http://ojs.academypublisher.com
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Title Distributed H_{infinity} Coordination of Multi-agent Systems with Directed Switching Topology and Time-delay
Authors Gao, Lixin; Luo, Yanping
Abstract In this paper, we consider multi-agent H_{infinity} consensus control problems with external disturbance under directed switching topologies. Both switching networks with and without time-delay are taken into consideration. By the model transformation, the multi-agent H_{infinity} control problem is converted into the switching linear system H_{infinity} control problem with special structure. Based on graph theory and common Lyapunov function method, we establish LMI sufficient conditions under which all agents can reach consensus with the desired H_{infinity} performance in two cases of zero and nonzero communication delays respectively. Specially, we obtain an explicit estimation expression of H_{infinity} performance index in undirected non-time-delay switching topology case. Finally, two numerical examples are provided to illustrate the effectiveness of the obtained results.
Publisher ACADEMY PUBLISHER
Date 2012-05-01
Source Journal of Computers Vol 7, No 5 (2012): Special Issue: Selected Best Papers of ICICIS 2011
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