Title :
A new criterion to linear consensus protocols over time-varying directed networks
Author :
Cao, Li ; Zheng, Yufan ; Zhou, Qing
Author_Institution :
Dept. of Comput. Sci. & Technol., East China Normal Univ., Shanghai, China
Abstract :
In this paper we present a result which modifies Moreau´s theorem [1] on linear consensus problem over time-varying directed networks. Our result uses integral connectivity on varying-length intervals to characterize the consensus criterion and conditionally allows the Laplacian matrix to be unbounded. Some examples are given to show the details of the result.
Keywords :
directed graphs; matrix algebra; multi-agent systems; network theory (graphs); protocols; Laplacian matrix; Moreau theorem; integral connectivity; linear consensus protocols; time-varying directed networks; varying-length intervals; Convergence; Educational institutions; Integral equations; Laplace equations; Mobile communication; Multiagent systems; Vectors; Consensus; directed graphs; integral connectivity; stability analysis; time-varying networks;
Conference_Titel :
Control and Automation (ICCA), 2011 9th IEEE International Conference on
Conference_Location :
Santiago
Print_ISBN :
978-1-4577-1475-7
DOI :
10.1109/ICCA.2011.6137948
