Fixed Point Theory Approach to Exponential Convergence in LTV Continuous Time Consensus Dynamics with Delays
C. Somarakis, John S. Baras
Proceedings of SIAM conference on Control and its Application 2013, pp. 129-136, San Diego, California, July 8-10, 2013.
The problem of continuous linear time varying consensus dynamics is addressed in the presence of constant commu- nication delays. We make a Fixed Point Theory argument with the use of contraction mappings and we state sucient conditions for exponential convergence to a consensus value with prescribed convergence rate.