title: Leaderless and leader-following consensus with communication and input delays under a directed network topology.
abstract: In this paper, time-domain (Lyapunov theorems) and frequency-domain (the Nyquist stability criterion) approaches are used to study leaderless and leader-following consensus algorithms with communication and input delays under a directed network topology. We consider both the first-order and second-order cases and present stability or boundedness conditions. Several interesting phenomena are analyzed and explained. Simulation results are presented to support the theoretical results.
authors.affiliation: Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China.
authors.forename: Ziyang
authors.initials: Z
authors.lastname: Meng
authors.forename: Wei
authors.initials: W
authors.lastname: Ren
authors.forename: Yongcan
authors.initials: Y
authors.lastname: Cao
authors.forename: Zheng
authors.initials: Z
authors.lastname: You