Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays

Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays

Title : Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays
Authors :
Somarakis, Christoforos
Baras, John, S.
Conference : SIAM conference on Control and its Application 2013
Date: July 08 - July 10, 2013

The problem of continuous linear time varying consensus dynamics is addressed in the presence of constant communication delays. We make a Fixed Point Theory argument with the use of contraction mappings and we state sufficient conditions for exponential convergence to a consensus value with prescribed convergence rate.

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