Time-scale Separation on Networks for Multi-City Epidemics
P Lewien, A Chapman
2019 IEEE 58th Conference on Decision and Control (CDC) | IEEE | Published : 2020
This paper explores a general multiple time-scale approach to model reduction in dynamic network-of-network systems, with a specific treatment on multi-city epidemics. Extensive coupling between layers of networks often complicates and obfuscates the interaction dynamics. Through the use of the natural time-scale differences in the system, these dynamics can be individually studied under a separation principle, simplifying analysis. We describe asymptotic stability of the network-of-networks through a composite Lyapunov function, and provide an M-matrix condition which guarantees such stability. Conservative bounds on the time-scale parameters are given quantitatively such that this conditio..View full abstract
The research of the authors was supported by the L'Oreal-UNESCO Australia For Women in Science Fellowship and the University of Melbourne Summer Research Internship Program. The authors are with the Department of Mechanical Engineering, The University of Melbourne, VIC, 3010 Australia. Emails: fplewien@student.,email@example.com.