6533b85cfe1ef96bd12bd422

RESEARCH PRODUCT

Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links

Hamid Reza KarimiXiaohui LiuYurong Liu

subject

Time delaysClass (set theory)Mathematical optimizationArticle Subjectlcsh:MathematicsApplied MathematicsMulti-agent systemlcsh:QA1-939Computer Science::Multiagent SystemsDiscrete time and continuous timeConsensusLyapunov functionalControl theoryVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411State (computer science)AnalysisMathematics

description

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/158731 Open Access This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.

yearjournalcountryeditionlanguage
2013-01-01Abstract and Applied Analysis
https://doi.org/10.1155/2013/158731