John S. Baras

2013

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.

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Abstract

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.

 

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