Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms

Zahra Aminzare; Eduardo D Sontag

doi:10.1109/CDC.2014.7040342

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Conference proceeding

Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms

Zahra Aminzare and Eduardo D Sontag

53rd IEEE Conference on Decision and Control, Vol.2015-(February), pp.6086-6091

12/2014

DOI: 10.1109/CDC.2014.7040342

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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.

Laplace equations

Symmetric matrices

Eigenvalues and eigenfunctions

Linear matrix inequalities

Synchronization

Mathematical model

Convergence

Details

Title: Subtitle: Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms
Creators: Zahra Aminzare - Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
Eduardo D Sontag - Dept. of Math., Rutgers Univ., Piscataway, NJ, USA
Resource Type: Conference proceeding
Publication Details: 53rd IEEE Conference on Decision and Control, Vol.2015-(February), pp.6086-6091
Publisher: IEEE
DOI: 10.1109/CDC.2014.7040342
ISSN: 0191-2216
eISSN: 2576-2370
Language: English
Date published: 12/2014
Academic Unit: Iowa Neuroscience Institute; Mathematics
Record Identifier: 9984065775502771

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