On The Convergence Rate of Non-Linear Consensus Networks with Delays
C. Somarakis, John S. Baras
Proceedings of 9th IFAC Symposium on Nonlinear Control Systems, pp. 705-710, Toulouse, France, September, 4-6 2013.
We consider a generic non-linear consensus model and prove convergence results to a common value together with prescribed rate of convergence. Instead of a Lyapunov approach we consider a functional metric space and make a xed point theory argument using contraction mappings. We are restricted to the case of static networks.