Eigenvector-based intergroup connection of low rank for hierarchical multi-agent dynamical systems

Tsubakino, Daisuke; Hara, Shinji

Systems & Control Letters, 2012, 61(2), 354-361

Permalink : https://hdl.handle.net/2115/48866

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アクセス権	open access
URI	https://hdl.handle.net/2115/48866
タイトル	Eigenvector-based intergroup connection of low rank for hierarchical multi-agent dynamical systems
著者	著者名 Tsubakino, Daisuke
著者	著者名 Hara, Shinji
言語	英語
キーワード	Multi-agent dynamical system
	Hierarchical network
	Low rank interconnection
	Eigenvector-based method
発行日	2012-02
出版者	Elsevier B.V.
収録物名	Systems & Control Letters
巻(号)	61(2)
ページ	354-361
抄録	This paper proposes an eigenvector-based method for analysis and design of hierarchical networks for multi-agent systems. We first define the concept of eigen-connection by characterizing low rank information flow between layers based on the eigenvector of lower level interconnection structures. It is shown that the resulting intergroup interconnections affect only a few eigenvalues of interconnection structures in the lower layer, and we derive explicit expressions for shifted eigenvalues. Then a procedure for designing hierarchical networks that result in desirable eigenvalue distributions is proposed, where the eigen-connection is used for a key to move undesirable eigenvalues selectively. The effectiveness of the procedure is demonstrated by a numerical example.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0167-6911
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.sysconle.2011.11.008