Paper Info
Title
Dynamic Feedback Synchronization of Lur'e Networks via Incremental Sector Boundedness.
Abstract
In this note, we generalize our results on synchronization of homogeneous Lur'e networks by static, relative state information based protocols from Zhang et al to the case that for each agent only relative measurements are available. We establish sufficient conditions under which a linear dynamic synchronization protocol exists for such networks. These conditions involve feasibility of two LMI's together with a coupling inequality, reminiscent of the well-known LMI conditions in H control by measurement feedback. We show that, regardless of the number of agents in the network, only the three inequalities are involved. In the computation of the protocol matrices, the eigenvalues of the Laplacian matrix of the interconnection graph occur. In particular, the matrices representing the protocol depend on the smallest nonzero eigenvalue and the largest eigenvalue of the Laplacian matrix. We validate our results by means of a numerical simulation example.
Year
DOI
Venue
2016
10.1109/TAC.2015.2494840
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Protocols,Synchronization,Linear matrix inequalities,Laplace equations,Eigenvalues and eigenfunctions,Yttrium,Couplings
Laplacian matrix,Mathematical optimization,Synchronization,Coupling,Computer simulation,Matrix (mathematics),Control theory,Interconnection,Eigenvalues and eigenvectors,Mathematics,Computation
Journal
Volume
Issue
ISSN
61
9
0018-9286
Citations 
PageRank 
References 
7
0.48
13
Authors
3
Name
Order
Citations
PageRank
Fan Zhang1434.72
Harry L. Trentelman215922.15
Jacquelien M. A. Scherpen349195.93