Open AccessContainment control for high‐order multi‐agent systems with heterogeneous time delays
Author(s) -
Wang Xiaoping,
Shi Lei,
Shao Jingliang
Publication year - 2018
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.2017.1043
Subject(s) - containment (computer programming) , convex hull , control (management) , multi agent system , computer science , control theory (sociology) , order (exchange) , hull , mathematical optimization , product (mathematics) , regular polygon , topology (electrical circuits) , distributed computing , mathematics , engineering , finance , artificial intelligence , programming language , geometry , combinatorics , marine engineering , economics
This study addresses the containment control problem for high‐order multi‐agent systems with heterogeneous time delays. Here the authors consider two cases: the leaders are stationary and the leaders are dynamic. Based on the distributed containment control protocols with proper gain parameters, they utilise the properties of the product of infinite matrices to derive some sufficient conditions. The obtained results guarantee that all the followers can asymptotically converge to a convex hull spanned by those of the leaders under the proper gain parameters if the communication topology contains a directed spanning forest rooted at the leaders. Finally, some numerical simulations are presented to illustrate the effectiveness of their theoretical results.