Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays
Conference : SIAM conference on Control and its Application 2013 pp. 129-136
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.