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Area Aggregation and Time Scale Modeling for Sparse Nonlinear Networks

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2 Author(s)
Biyik, E. ; Dept. of Electr., Comput., & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY ; Arcak, M.

Model reduction and aggregation are of key importance for simulation and analysis of large-scale systems, such as molecular dynamics, large swarms of robotic vehicles, and animal aggregations. We study a nonlinear network which exhibits areas of internally dense and externally sparse interconnections. The densely connected nodes in these areas synchronize in the fast time-scale, and behave as aggregate nodes that dominate the slow dynamics of the network. We first derive a singular perturbation model which makes this time-scale separation explicit and, next, prove the validity of the reduced-model approximation on the infinite time interval

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006