Journal article

Time-Scale Separation in Networks: State-Dependent Graphs and Consensus Tracking

Armand Awad, Airlie Chapman, Eric Schoof, Anshu Narang-Siddarth, Mehran Mesbahi

IEEE Transactions on Control of Network Systems | IEEE | Published : 2019


This paper studies the coupled dynamics spanning multiple time-scales that arise in networked systems. Two particular cases are examined. In the first case, agents evolve according to the consensus dynamics over state-dependent graphs whose weight dynamics are slow varying. In the second, the consensus dynamics are coupled to rapidly evolving nonlinear node dynamics. In both instances, graph-based guarantees are provided that certify the existence of a separation principle across time scales. Further, the effect of the network's structure on the composite multiple time-scale system's stability and basin of attraction is quantified in each case. As illustrated by specific numeric examples, th..

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Awarded by NSF CAREER Award

Awarded by ARO

Awarded by AFOSR

Awarded by ONR

Funding Acknowledgements

The work of A. Awad and A. Narang-Siddarth was supported in part by NSF CAREER Award 1552296 and in part by a grant from the Joint Center for Aerospace Technology Innovation. The work of A. Chapman, E. Schoof, and M. Mesbahi was supported in part by ARO under Grant W911NF-13-1-0340, in part by AFOSR under Grant FA9550-16-1-0022, and in part by ONR under Grant N00014-12-1-1002.