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Jordan Form-Based Algebraic Conditions for Controllability of Multiagent Systems under Directed Graphs
Joint Authors
Ji, Zhijian
Liu, Shuai
Ma, Huizi
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Based on the Jordan form of system matrix, this paper discusses algebraic conditions for the controllability of the multiagent network system with directed graph from two aspects: leader-follower network attribute and coupling input disturbance.
Leader-follower network attribute refers to the topology structure and information communication among agents.
Coupling input disturbance includes the number of external coupling inputs and the selection of leader nodes.
When the leader-follower network attribute is fixed, the selection method of coupling input disturbance is studied for the controllability, and when the coupling input disturbance is known, we derive necessity and sufficiency conditions to determine the controllability.
The reliability of theoretical results is verified by numerical examples and model simulation.
Besides, the generally perfect controllability is introduced, that is, the system is always controllable regardless of the number and the locations of leaders.
In practical engineering applications, the perfectly controllable topology can improve the system fault tolerance and accelerate the commercialization process, which has a profound significance for promoting the modernization process.
American Psychological Association (APA)
Liu, Shuai& Ji, Zhijian& Ma, Huizi. 2020. Jordan Form-Based Algebraic Conditions for Controllability of Multiagent Systems under Directed Graphs. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1143903
Modern Language Association (MLA)
Liu, Shuai…[et al.]. Jordan Form-Based Algebraic Conditions for Controllability of Multiagent Systems under Directed Graphs. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1143903
American Medical Association (AMA)
Liu, Shuai& Ji, Zhijian& Ma, Huizi. Jordan Form-Based Algebraic Conditions for Controllability of Multiagent Systems under Directed Graphs. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1143903
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143903