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Impulsive Consensus Control for Complex Dynamical Networks with Non-identical Nodes and Coupling Time-Delays

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dc.contributor.authorLiu, Bin
dc.contributor.authorHill, David
dc.coverage.spatialCancun Mexico
dc.date.accessioned2015-12-08T22:36:00Z
dc.date.createdDecember 9-11 2008
dc.date.issued2008
dc.date.updated2016-02-24T10:58:03Z
dc.description.abstractThis paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, non-identical nodes and coupling timedelays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability (RGES) criteria are derived for the error system, under which global exponential consensus is achieved for the complex dynamical networks. These criteria are expressed in terms of LMIs and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus speed rate for global exponential consensus is also obtained. One example with numerical simulations is worked out for illustration.
dc.identifier.isbn9781424431243
dc.identifier.urihttp://hdl.handle.net/1885/35077
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesIEEE Conference on Decision and Control 2008
dc.sourceProceedings of IEEE Conference on Decision and Control 2008
dc.subjectKeywords: Complex dynamical networks; Consensus controls; Dynamical networks; Error systems; Global exponential stabilities; Lyapunov-Krasovskii functional methods; Numerical simulations; Speed rates; Time- delays; Vector functions; Differential equations; Dynamica
dc.titleImpulsive Consensus Control for Complex Dynamical Networks with Non-identical Nodes and Coupling Time-Delays
dc.typeConference paper
local.bibliographicCitation.lastpage2263
local.bibliographicCitation.startpage2258
local.contributor.affiliationLiu, Bin, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.contributor.authoruidLiu, Bin, u4377127
local.contributor.authoruidHill, David, u4218741
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationu4334215xPUB120
local.identifier.doi10.1109/CDC.2008.4738913
local.identifier.scopusID2-s2.0-63049118808
local.type.statusPublished Version

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