Asymptotic Consensus Solutions in Non-Linear Delayed Distributed Algorithms Under Deterministic & Stochastic Perturbations

Asymptotic Consensus Solutions in Non-Linear Delayed Distributed Algorithms Under Deterministic & Stochastic Perturbations

Title : Asymptotic Consensus Solutions in Non-Linear Delayed Distributed Algorithms Under Deterministic & Stochastic Perturbations
Authors :
Baras, John S.
Somarakis, Christoforos
Conference : 52nd IEEE Conference on Decision and Control pp. 7821-7826
Date: December 10 - December 13, 2013

We consider a multi-agent non-linear delayed model which sustains consensus type of solutions. We use fixed point theory arguments to establish sufficient conditions for existence and uniqueness of solutions that converge exponentially fast to a common value with prescribed rate. The conditions depend on the communication topology, the nonlinearity of the model as well as the delay in the propagation of information. Furthermore we test the robustness of our results in the presence of independent time varying perturbations both deterministic and stochastic.

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