Type:
Conference Paper›Invited and refereed articles in conference proceedings
Authored by:
Somarakis, Christoforos., Baras, John S.
Conference date:
June 25-28, 2013
Conference:
21st Mediterranean Conference on Control and Automation, pp. 1495-1501
Full Text Paper:
Abstract:
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.