Abstract
This paper investigates the equilibrium behavior of broadly studied synchronization dynamics of coupled systems, among which shared information is delayed. The underlying relationship is established between graph structures and the largest amount of delay the dynamics can withstand without losing stability. In particular, based on Cartesian product of graphs, we present the rules and limitations for synthesizing the graphs of large-scale systems that can remain stable for as large delays as possible. Examples are provided to demonstrate the results.
Keywords
equilibrium behavior, synchronization dynamics
Disciplines
Industrial Engineering | Mechanical Engineering
Publisher
American Physical Society
Publication Date
1-6-2012
Rights Information
Copyright (2012) American Physical Society
Rights Holder
American Physical Society
Recommended Citation
Sipahi, Rifat and Qiao, Wei, "Rules and limitations of building delay-tolerant topologies for coupled systems" (2012). Mechanical and Industrial Engineering Faculty Publications. Paper 51.
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Notes
Originally published in Physical Review E v.85 (2012): 016104. DOI: 10.1103/PhysRevE.85.016104.