On the herdability of linear time-invariant systems with special topological structures

被引：0
作者：
De Pasquale, Giulia [1 ]
Valcher, Maria Elena [1 ]
机构：
[1] Univ Padua, Dipartimento Ingn Informaz, Via Gradenigo 6B, I-35131 Padua, Italy
来源：
AUTOMATICA | 2023年 / 149卷
关键词：
Herdability; Multi-agent systems; Social networks; Linear systems; Signed graphs; Clustering balance; CONTROLLABILITY; REACHABILITY; CONSENSUS; NETWORKS; ISSUE;
D O I：
10.1016/j.automatica.2022.110804
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we investigate the herdability property, namely the capability of a system to be driven towards the (interior of the) positive orthant, for linear time-invariant state space models. Herdability of certain matrix pairs (A, B), where A is the adjacency matrix of a multi-agent network, and B a selection matrix that singles out a subset of the agents (the "network leaders"), is explored. The cases when the graph associated with A, G(A), is directed and clustering balanced (in particular, structurally balanced), or it has a tree topology and there is a single leader, are investigated.(c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：9
相关论文
共 37 条
  • [1] Tree decompositions and social graphs
    Adcock, Aaron B.
    Sullivan, Blair D.
    Mahoney, Michael W.
    [J]. INTERNET MATHEMATICS, 2016, 12 (05) : 315 - 361
  • [2] Tree-like structure in large social and information networks
    Adcock, Aaron B.
    Sullivan, Blair D.
    Mahoney, Michael W.
    [J]. 2013 IEEE 13TH INTERNATIONAL CONFERENCE ON DATA MINING (ICDM), 2013, : 1 - 10
  • [3] Consensus Problems on Networks With Antagonistic Interactions
    Altafini, Claudio
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (04) : 935 - 946
  • [4] Special issue on technology of networked control systems
    Antsaklis, Panos
    Baillieul, John
    [J]. PROCEEDINGS OF THE IEEE, 2007, 95 (01) : 5 - 8
  • [5] Control and communication challenges in networked real-time systems
    Baillieul, John
    Antsaklis, Panos J.
    [J]. PROCEEDINGS OF THE IEEE, 2007, 95 (01) : 9 - 28
  • [6] Chetty V., MEANINGS APPL STRUCT
  • [7] CLUSTERING AND STRUCTURAL BALANCE IN GRAPHS
    DAVIS, JA
    [J]. HUMAN RELATIONS, 1967, 20 (02) : 181 - 187
  • [8] Davis P.J., 1979, CIRCULANT MATRICES
  • [9] De Pasquale G., 2021, P 60 IEEE C DECISION
  • [10] REACHING A CONSENSUS
    DEGROOT, MH
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1974, 69 (345) : 118 - 121
1234