DocumentCode
116120
Title
Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms
Author
Aminzare, Zahra ; Sontag, Eduardo D.
Author_Institution
Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
6086
Lastpage
6091
Abstract
In this paper, we sketch recent results for synchronization in a network of identical ODE models which are diffusively interconnected. In particular, we provide estimates of convergence of the difference in states between components, in the cases of line, complete, and star graphs, and Cartesian products of such graphs.
Keywords
differential equations; graph theory; synchronisation; Cartesian product; complete graph; diffusive-link synchronization; identical ODE models; line graph; non-Hilbert logarithmic norms; ordinary differential equations; star graph; Convergence; Eigenvalues and eigenfunctions; Laplace equations; Linear matrix inequalities; Mathematical model; Symmetric matrices; Synchronization;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7040342
Filename
7040342
Link To Document