Graph Laplacian Design for Fast Consensus of a LTI System With Heterogeneous Agent Couplings and Homogeneous Inter-Agent Delays
Wei Qiao, Fatihcan M. Atay, Rifat Sipahi · 2013
A class of LTI consensus network dynamics with heterogeneous agent coupling strengths and homogeneous inter-agent delays is under investigation. An approach to design the graph Laplacian of the system is developed here for achieving fast consensus, departing from the analytical study of the rightmost eigenvalue behavior of this dynamics. Detailed design procedure is presented with a demonstrative example.