LTI Continuous Time Consensus Dynamics with Multiple and Distributed Delays

LTI Continuous Time Consensus Dynamics with Multiple and Distributed Delays

Title : LTI Continuous Time Consensus Dynamics with Multiple and Distributed Delays
Authors :
Somarakis, Christoforos
Baras, John, S.
Conference : 21st Mediterranean Conference on Control and Automation pp. 1495-1501
Date: June 25 - June 28, 2013

We study linear time invariant (LTI) continuous time consensus dynamics in the presence of bounded communication delays. Contrary to traditional Lyapunov based methods, we approach the problem using Fixed Point Theory. This method, allows us to create an appropriate complete functional metric space and through contraction mappings to establish the existence and uniqueness of a solution of this model. We explore the case of constant as well as distributed delays.

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