Global Synchronization of Dynamical Networks with Non-identical Nodes: a Multiple V-Lyapunov Function Method
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Zhao, Jun; Hill, David; Liu, Tao
Description
The 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...[Show more]
dc.contributor.author | Zhao, Jun | |
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dc.contributor.author | Hill, David | |
dc.contributor.author | Liu, Tao | |
dc.coverage.spatial | Bologna Italy | |
dc.date.accessioned | 2015-12-10T22:57:09Z | |
dc.date.created | September 1-3 2010 | |
dc.identifier.uri | http://hdl.handle.net/1885/60528 | |
dc.description.abstract | The 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.publisher | International Federation of Automatic Control (IFAC) | |
dc.relation.ispartofseries | IFAC Symposium on Nonlinear Control Systems (NOLCOS 2010) | |
dc.source | Proceedings of NOLCOS 2010 | |
dc.subject | Keywords: 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.title | Global Synchronization of Dynamical Networks with Non-identical Nodes: a Multiple V-Lyapunov Function Method | |
dc.type | Conference paper | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
dc.date.issued | 2010 | |
local.identifier.absfor | 090602 - Control Systems, Robotics and Automation | |
local.identifier.ariespublication | u4334215xPUB545 | |
local.type.status | Published Version | |
local.contributor.affiliation | Zhao, Jun, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Hill, David, College of Engineering and Computer Science, ANU | |
local.contributor.affiliation | Liu, Tao, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 137 | |
local.bibliographicCitation.lastpage | 142 | |
local.identifier.doi | 10.3182/20100901-3-IT-2016.00113 | |
local.identifier.absseo | 970109 - Expanding Knowledge in Engineering | |
dc.date.updated | 2016-02-24T11:01:47Z | |
local.identifier.scopusID | 2-s2.0-80051774513 | |
Collections | ANU Research Publications |
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