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Towards a unified theory of consensus
(2014-10-12)
We revisit the classic multi-agent distributed consensus problem under mild connectivity assumptions and non-uniformly bounded weights. The analysis is based on a novel application of the standard results from the non-negative ...
A Fixed Point Theory Approach to Multi-Agent Consensus Dynamics With Delays
(2013-01-01)
The classic linear time-invariant multi-agent consensus scheme is revisited in the presence of constant and distributed bounded delays. We create a fixed point argument and prove exponential convergence with specific rate ...
Stability by Fixed Point Theory in Consensus Dynamics
(2014-08-22)
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 ...