Stability of non-diagonalizable networks : Eigenvalue analysis

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)Not applicablepeer-review

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Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Title of host publicationComplex sciences
Subtitle of host publicationfirst international conference, Complex 2009, Shanghai, China, February 23-25, 2009 : revised papers
EditorsJie Zhou
Place of PublicationBerlin; New York
PublisherSpringer
Pages980-990
Volume4 LNICST
ISBN (Print)3642024661, 9783642024665, 3642024696, 9783642024658
Publication statusPublished - Feb 2009

Publication series

NameLecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering
Volume4 LNICST
ISSN (Print)1867-8211

Conference

Title1st International Conference on Complex Sciences: Theory and Applications, Complex 2009
PlaceChina
CityShanghai
Period23 - 25 February 2009

Abstract

The stability of non-diagonalizable networks of dynamical systems are investigated in detail based on eigenvalue analysis. Pinning control is suggested to stabilize the synchronization state of the whole coupled network. The complicated coupled problem is reduced to two independent problems: clarifying the stable region of the modified system and specifying the eigenvalue distribution of the coupling and control matrix. The dependence of the stability on both pinning density and pinning strength is studied. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.

Research Area(s)

  • Eigenvalue analysis, Non-diagonalizable network, Pinning control, Stability

Citation Format(s)

Stability of non-diagonalizable networks : Eigenvalue analysis. / Xiang, Linying; Chen, Zengqiang; Zhu, Jonathan J.H.

Complex sciences: first international conference, Complex 2009, Shanghai, China, February 23-25, 2009 : revised papers. ed. / Jie Zhou. Vol. 4 LNICST Berlin; New York : Springer, 2009. p. 980-990 (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering; Vol. 4 LNICST).

Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)Not applicablepeer-review