Delay-Independent Stability of Consensus Networks with Application to Flocking ∗ ∗ This work is supported by US AFOSR MURI grant FA9550–09–10538, NSF grant CNS–1035655, NIST grant 70NANB11H148.

摘要

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.