Delay-independent convergence for Linear Consensus Networks with Applications to Non-linear Flocking Systems

Delay-independent convergence for Linear Consensus Networks with Applications to Non-linear Flocking Systems

Title : Delay-independent convergence for Linear Consensus Networks with Applications to Non-linear Flocking Systems
Authors :
Somarakis, Christoforos
Baras, John, S.
Conference : 12th IFAC Workshop on Time Delay Systems (TDS 2015) pp. 159-164
Date: June 28 - June 30, 2015

This work studies a class of linear first order and non-linear second order static distributed consensus networks with time-varying multiple propagation delays, in continuous time. We provide conditions for convergence of to a common constant value, under an increased connectivity condition. The results are delay-independent in the sense that they hold for arbitrary bounded delays. Our approach makes use of fundamental concepts from the Non-Negative Matrix Theory in a fairly elementary way.

Download Full Paper