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Global Synchronization of Dynamical Networks with Non-identical Nodes: a Multiple V-Lyapunov Function Method

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dc.contributor.authorZhao, Jun
dc.contributor.authorHill, David
dc.contributor.authorLiu, Tao
dc.coverage.spatialBologna Italy
dc.date.accessioned2015-12-10T22:57:09Z
dc.date.createdSeptember 1-3 2010
dc.date.issued2010
dc.date.updated2016-02-24T11:01:47Z
dc.description.abstractThe global synchronization problem for general dynamical networks with non-identical nodes is studied by introducing multiple V-Lyapunov functions. In such a network, the coupling strength, inner coupling matrix and outer coupling matrix are all allowed to be state-dependent and nonlinear. A global synchronization criterion is proposed in terms of matrix norms and eigenvalues of some lower-dimensional matrices. We also study the problem of how to achieve global synchronization by design of controllers under the scheme of multiple V-Lyapunov functions. The control action is regarded as a re-shape of outer coupling topology and the associated controllers are designed. In particular, a method of global synchronization by adding or removing a certain number of links is proposed.
dc.identifier.urihttp://hdl.handle.net/1885/60528
dc.publisherInternational Federation of Automatic Control (IFAC)
dc.relation.ispartofseriesIFAC Symposium on Nonlinear Control Systems (NOLCOS 2010)
dc.sourceProceedings of NOLCOS 2010
dc.subjectKeywords: Control actions; Coupling matrix; Coupling strengths; Dynamical networks; Eigenvalues; Function methods; Global synchronization; Matrix norms; State-dependent; Controllers; Differential equations; Dynamical systems; Eigenvalues and eigenfunctions; Lyapuno
dc.titleGlobal Synchronization of Dynamical Networks with Non-identical Nodes: a Multiple V-Lyapunov Function Method
dc.typeConference paper
local.bibliographicCitation.lastpage142
local.bibliographicCitation.startpage137
local.contributor.affiliationZhao, Jun, College of Engineering and Computer Science, ANU
local.contributor.affiliationHill, David, College of Engineering and Computer Science, ANU
local.contributor.affiliationLiu, Tao, College of Engineering and Computer Science, ANU
local.contributor.authoruidZhao, Jun, u4382646
local.contributor.authoruidHill, David, u4218741
local.contributor.authoruidLiu, Tao, u4487942
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.absseo970109 - Expanding Knowledge in Engineering
local.identifier.ariespublicationu4334215xPUB545
local.identifier.doi10.3182/20100901-3-IT-2016.00113
local.identifier.scopusID2-s2.0-80051774513
local.type.statusPublished Version

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