Premium
Controllability of multi‐agent systems under directed topology
Author(s) -
Guan Yongqiang,
Ji Zhijian,
Zhang Lin,
Wang Long
Publication year - 2017
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3798
Subject(s) - controllability , social connectedness , partition (number theory) , linear subspace , topology (electrical circuits) , directed graph , graph , mathematics , graph partition , network topology , computer science , multi agent system , interconnection , discrete mathematics , combinatorics , pure mathematics , artificial intelligence , computer network , psychology , psychotherapist
Summary In this paper, the controllability of multi‐agent systems is studied under leader‐follower framework, where the interconnection between agents is directed. The concept of leader‐follower connectedness is first introduced for directed graph to check controllability, and some graph‐theoretic conditions are derived for constructively designed topologies. Then, distance partition and almost equitable partition are employed to quantitatively study the controllable subspaces. Moreover, the relationship between the state invariance of multi‐agent systems and the existence of almost equitable partition is discussed. Copyright © 2017 John Wiley & Sons, Ltd.