Open AccessPinning consensus for multi‐agent systems with non‐linear dynamics and time‐varying delay under directed switching topology
Author(s) -
Wang Yangling,
Cao Jinde,
Hu Jianqiang
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0032
Subject(s) - topology (electrical circuits) , consensus , network topology , mathematics , multi agent system , control theory (sociology) , set (abstract data type) , path (computing) , coupling (piping) , computer science , control (management) , combinatorics , mechanical engineering , artificial intelligence , engineering , programming language , operating system
This paper studies the leader‐following consensus problem in directed networks of agents with non‐linear dynamics and time‐varying coupling delay by using the pinning control method. The main contribution of this study is that we obtain two classes of sufficient leader‐following consensus criteria without assuming that the topology among followers is strongly connected or has a spanning tree, and without assuming that the derivative of the time‐varying communication delay is less than 1. In addition, to be more practical we consider the general network whose coupling topology is arbitrarily switching among a finite set of topologies. Based on the common Lyapunov theory and linear matrix inequalities approach, we prove that the leader‐following consensus problem can be solved only with the assumption that the topology among the followers has p ( p > 1) and there is a directed path from the leader to each follower. Two examples are presented to show the applications of the criteria obtained in this study.