Indexed by:
期刊论文
First Author:
Shi, Lin
Correspondence Author:
Xie, DM (reprint author), Tianjin Univ, Sch Math, Tianjin, Peoples R China.; Xie, DM (reprint author), Xinjiang Normal Univ, Sch Math, Urumqi, Peoples R China.
Co-author:
Gu, Haibo,Yu, Mei,Chen, Bingcai,Xie, Dongmei
Date of Publication:
2018-01-01
Journal:
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Included Journals:
SCIE
Document Type:
J
Volume:
49
Issue:
9
Page Number:
2025-2038
ISSN No.:
0020-7721
Key Words:
Second-order multi-agent systems; consensus tracking; fixed
communication topology; sampled-data setting; time-delays
Abstract:
This paper focuses on the consensus tracking control problem of multi-agent systems (MASs) with arbitrary adjacency weights instead of traditional nonnegative weights in a sampling setting. First, unlike Lemma 4 in Hu and Hong [2007. Leader-following coordination of MASs with coupling time delays. Physica A: Statistical Mechanics and its Applications, 374(2), 853-863], for MASs with arbitrary weights, the global reachability of the leader node is just a necessary but not a necessary and sufficient condition to guarantee the positive stability of matrix H. Hence, it's urgent for us to establish some positive stability criteria of matrix H first, which is a necessary condition for MASs to achieve consensus tracking. Simultaneously, we also solve the following problems successfully: which nodes should have direct connection with the leader? What's the range size of the leader adjacency coefficients? Then, some sufficient consensus tracking control conditions are obtained for MASs without time-delays and with time-delays by using matrix analysis method and perturbation theory, respectively. Finally, numerical examples are given to illustrate the effectiveness of our results.
Translation or Not:
no
