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
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7040342
