Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections

Naotsuna Fujimori; Lu Liu; Shinji Hara; Daisuke Tsubakino

doi:10.1109/CDC.2011.6161457

Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections

Naotsuna Fujimori
, Lu Liu
, Shinji Hara
, Daisuke Tsubakino

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

12 Citations (Scopus)

Abstract

In this paper, we study consensus problem for hierarchical multi-agent dynamical systems with low rank interconnection by eigenvector-based connection. The system considered is more general than the existing one in a sense that the number of agents in each subsystem and the connection structure of each subsystem are allowed to be different from each other. We provide analytical expressions of the eigenvalue sets of the hierarchical interconnection matrices and systematic synthesis procedures for achieving the output consensus with Lyapunov stability. The results are applicable to more general class of hierarchical interconnection structures than previous work, and numerical examples with simulations confirm the effectiveness of the proposed design method. © 2011 IEEE.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	1449-1454
DOIs	https://doi.org/10.1109/CDC.2011.6161457
Publication status	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control, and European Control Conference, CDC-ECC 2011 - Orlando, United States Duration: 12 Dec 2011 → 15 Dec 2011

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Name
ISSN (Print)	0191-2216

Conference

Conference	2011 50th IEEE Conference on Decision and Control, and European Control Conference, CDC-ECC 2011
Place	United States
City	Orlando
Period	12/12/11 → 15/12/11

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10.1109/CDC.2011.6161457

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title = "Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections",

abstract = "In this paper, we study consensus problem for hierarchical multi-agent dynamical systems with low rank interconnection by eigenvector-based connection. The system considered is more general than the existing one in a sense that the number of agents in each subsystem and the connection structure of each subsystem are allowed to be different from each other. We provide analytical expressions of the eigenvalue sets of the hierarchical interconnection matrices and systematic synthesis procedures for achieving the output consensus with Lyapunov stability. The results are applicable to more general class of hierarchical interconnection structures than previous work, and numerical examples with simulations confirm the effectiveness of the proposed design method. {\textcopyright} 2011 IEEE.",

author = "Naotsuna Fujimori and Lu Liu and Shinji Hara and Daisuke Tsubakino",

year = "2011",

doi = "10.1109/CDC.2011.6161457",

language = "English",

isbn = "9781612848006",

pages = "1449--1454",

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note = "2011 50th IEEE Conference on Decision and Control, and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Fujimori, N, Liu, L, Hara, S & Tsubakino, D 2011, Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections. in Proceedings of the IEEE Conference on Decision and Control., 6161457, pp. 1449-1454, 2011 50th IEEE Conference on Decision and Control, and European Control Conference, CDC-ECC 2011, Orlando, Florida, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161457

Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections. / Fujimori, Naotsuna; Liu, Lu; Hara, Shinji et al.
Proceedings of the IEEE Conference on Decision and Control. 2011. p. 1449-1454 6161457.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections

AU - Fujimori, Naotsuna

AU - Liu, Lu

AU - Hara, Shinji

AU - Tsubakino, Daisuke

PY - 2011

Y1 - 2011

N2 - In this paper, we study consensus problem for hierarchical multi-agent dynamical systems with low rank interconnection by eigenvector-based connection. The system considered is more general than the existing one in a sense that the number of agents in each subsystem and the connection structure of each subsystem are allowed to be different from each other. We provide analytical expressions of the eigenvalue sets of the hierarchical interconnection matrices and systematic synthesis procedures for achieving the output consensus with Lyapunov stability. The results are applicable to more general class of hierarchical interconnection structures than previous work, and numerical examples with simulations confirm the effectiveness of the proposed design method. © 2011 IEEE.

AB - In this paper, we study consensus problem for hierarchical multi-agent dynamical systems with low rank interconnection by eigenvector-based connection. The system considered is more general than the existing one in a sense that the number of agents in each subsystem and the connection structure of each subsystem are allowed to be different from each other. We provide analytical expressions of the eigenvalue sets of the hierarchical interconnection matrices and systematic synthesis procedures for achieving the output consensus with Lyapunov stability. The results are applicable to more general class of hierarchical interconnection structures than previous work, and numerical examples with simulations confirm the effectiveness of the proposed design method. © 2011 IEEE.

UR - https://www.scopus.com/pages/publications/84856118617

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84856118617&origin=recordpage

U2 - 10.1109/CDC.2011.6161457

DO - 10.1109/CDC.2011.6161457

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781612848006

SP - 1449

EP - 1454

BT - Proceedings of the IEEE Conference on Decision and Control

T2 - 2011 50th IEEE Conference on Decision and Control, and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Hierarchical network synthesis for output consensus by eigenvector-based interlayer connections

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