Stability by Fixed Point Theory in Consensus Dynamics
Stability by Fixed Point Theory in Consensus Dynamics
Loading...
Files
Publication or External Link
Date
2014-08-22
Advisor
Citation
DRUM DOI
Abstract
We study the stability of linear time invariant distributed consensus dynamics in the presence of multiple propagation and processing delays. We employ fixed point theory (FPT) methods and derive sufficient conditions for asymptotic convergence to a common value while the emphasis is given in estimating the rate of convergence. We argue that this approach is novel in the field of networked dynamics as it is also flexible and thus capable of analyzing a wide variety of consensus based algorithms for which conventional Lyapunov methods are either too restrictive or unsuccessful.