Type:
Conference Paper›Invited and refereed articles in conference proceedings
Authored by:
Somarakis, Christoforos., Baras, John S., Motee, Nader.
Conference date:
July 11-15, 2016
Conference:
22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 823-829
Full Text Paper:
Abstract:
In this paper, we investigate stability and convergence properties of a class of nonlinear delayed consensus networks. Using tools and techniques from functional differential equations, sufficient stability conditions with respect to a common state as well as estimates on the convergence rate are derived. We characterize the limit (consensus) state for time-invariant sub-classes of these networks. More importantly, we specify under what conditions a delayed network exhibits periodic synchronized solutions. We provide sufficient conditions for existence, uniqueness and stability of this interesting phenomenon that we illustrate with a simulation example.