Dissipativity Reinforcement in Network System: A Design Principle of Large-scale Dynamical System

Kengo Urata; Masaki Inoue

doi:10.1016/j.ifacol.2016.10.374

Dissipativity Reinforcement in Network System: A Design Principle of Large-scale Dynamical System

Kengo Urata, Masaki Inoue

Department of Applied Physics and Physico-Informatics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We analyze the dissipativity in a large-scale network system, which is composed of a large number of internally connected components. Assuming that every component has special passivity property, we show that the network system inherits the same property of the component independently of the network scale. In addition, the dissipation performance of the network system, evaluated by the H_∞ norm, is gradually reinforced via network expansion. This analysis can be a fundamental principle of constructing large-scale dynamical systems.

Original language	English
Pages (from-to)	67-72
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	49
Issue number	22
DOIs	https://doi.org/10.1016/j.ifacol.2016.10.374
Publication status	Published - 2016

Keywords

Dissipativity
Network systems
Passivity
Stability

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2016.10.374

Cite this

@article{6cf89cf10066485ba0a6ccd3b03d305a,

title = "Dissipativity Reinforcement in Network System: A Design Principle of Large-scale Dynamical System",

abstract = "We analyze the dissipativity in a large-scale network system, which is composed of a large number of internally connected components. Assuming that every component has special passivity property, we show that the network system inherits the same property of the component independently of the network scale. In addition, the dissipation performance of the network system, evaluated by the H∞ norm, is gradually reinforced via network expansion. This analysis can be a fundamental principle of constructing large-scale dynamical systems.",

keywords = "Dissipativity, Network systems, Passivity, Stability",

author = "Kengo Urata and Masaki Inoue",

note = "Funding Information: ⋆⋆This work was partially supported by CREST, Japan Science anTdhTisecwhnoroklogwyasAgpeanrctiya,llayndsuaplpsoortbeyd tbhye GCRraEnSt-Tin,-AJaidpafnorSYcioeunncge ancidenTtiescthsn(oBlo),gyNoA.g2e6n8c2y0,1a6n3dfroamlsoJSbPySt.he Grant-in-Aid for Young Scientists (B), No. 26820163 from JSPS. Publisher Copyright: {\textcopyright} 2016",

year = "2016",

doi = "10.1016/j.ifacol.2016.10.374",

language = "English",

volume = "49",

pages = "67--72",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "22",

}

TY - JOUR

T1 - Dissipativity Reinforcement in Network System

T2 - A Design Principle of Large-scale Dynamical System

AU - Urata, Kengo

AU - Inoue, Masaki

N1 - Funding Information: ⋆⋆This work was partially supported by CREST, Japan Science anTdhTisecwhnoroklogwyasAgpeanrctiya,llayndsuaplpsoortbeyd tbhye GCRraEnSt-Tin,-AJaidpafnorSYcioeunncge ancidenTtiescthsn(oBlo),gyNoA.g2e6n8c2y0,1a6n3dfroamlsoJSbPySt.he Grant-in-Aid for Young Scientists (B), No. 26820163 from JSPS. Publisher Copyright: © 2016

PY - 2016

Y1 - 2016

N2 - We analyze the dissipativity in a large-scale network system, which is composed of a large number of internally connected components. Assuming that every component has special passivity property, we show that the network system inherits the same property of the component independently of the network scale. In addition, the dissipation performance of the network system, evaluated by the H∞ norm, is gradually reinforced via network expansion. This analysis can be a fundamental principle of constructing large-scale dynamical systems.

AB - We analyze the dissipativity in a large-scale network system, which is composed of a large number of internally connected components. Assuming that every component has special passivity property, we show that the network system inherits the same property of the component independently of the network scale. In addition, the dissipation performance of the network system, evaluated by the H∞ norm, is gradually reinforced via network expansion. This analysis can be a fundamental principle of constructing large-scale dynamical systems.

KW - Dissipativity

KW - Network systems

KW - Passivity

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=84994126383&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84994126383&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2016.10.374

DO - 10.1016/j.ifacol.2016.10.374

M3 - Article

AN - SCOPUS:84994126383

SN - 2405-8963

VL - 49

SP - 67

EP - 72

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 22

ER -

Dissipativity Reinforcement in Network System: A Design Principle of Large-scale Dynamical System

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this