|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Information Science and Technology / Faculty of Information Science and Technology >
Peer-reviewed Journal Articles, etc >
Eigenvector-based intergroup connection of low rank for hierarchical multi-agent dynamical systems
| Title: | Eigenvector-based intergroup connection of low rank for hierarchical multi-agent dynamical systems |
| Authors: | Tsubakino, Daisuke Browse this author | | Hara, Shinji Browse this author |
| Keywords: | Multi-agent dynamical system | | Hierarchical network | | Low rank interconnection | | Eigenvector-based method |
| Issue Date: | Feb-2012 |
| Publisher: | Elsevier B.V. |
| Journal Title: | Systems & Control Letters |
| Volume: | 61 |
| Issue: | 2 |
| Start Page: | 354 |
| End Page: | 361 |
| Publisher DOI: | 10.1016/j.sysconle.2011.11.008 |
| Abstract: | 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. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/48866 |
| Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 椿野 大輔
|
