Published January 1, 2011
| Version v1
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On the existence of common Lyapunov functions for consensus algorithms based on averaging
Creators
- 1. Bogazici Univ, Dept Elect & Elect Engn, Istanbul, Turkey
- 2. Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland
Description
This paper addresses distributed deterministic consensus algorithms based on averaging. We relate the conditions for achieving consensus to the existence of a common norm for a set of row-stochastic matrices associated with the original set of averaging matrices. For a system to achieve consensus, it is shown that this associated set of matrices should have a Common Lyapunov Function, even if the original set might not have one.
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