Robust synchronization in networks of cyclic feedback systems

Reference : Robust synchronization in networks of cyclic feedback systems


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/10993/20365

Title :	Robust synchronization in networks of cyclic feedback systems
Language :	English
Author, co-author :	Hamadeh, A. O. [> >]
	Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
	Stan, G. B. V. [> >]
Publication date :	2008
Main document title :	The proceedings of the 47th IEEE Conference on Decision and Control
Publisher :	IEEE
Pages :	5268 - 5273
Peer reviewed :	Yes
ISBN :	978-1-4244-3124-3
Event name :	47th IEEE Conference on Decision and Control
Event date :	December 9-11, 2008
Event place (city) :	Cancun
Event country :	Mexico
Abstract :	[en] This paper presents a result on the robust synchronization of outputs of statically interconnected non-identical cyclic feedback systems that are used to model, among other processes, gene expression. The result uses incremental versions of the small gain theorem and dissipativity theory to arrive at an upper bound on the norm of the synchronization error between corresponding states, giving a measure of the degree of convergence of the solutions. This error bound is shown to be a function of the difference between the parameters of the interconnected systems, and disappears in the case where the systems are identical, thus retrieving an earlier synchronization result.
Permalink :	http://hdl.handle.net/10993/20365
DOI :	10.1109/CDC.2008.4739052

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