You are here

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

Type: 
Conference PaperInvited and refereed articles in conference proceedings
Authored by:
Somarakis, Christoforos., Baras, John S.
Conference date:
July 8-10, 2013
Conference:
SIAM conference on Control and its Application 2013, pp. 129-136
Full Text Paper: 
Abstract: 

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.