General transformation for block diagonalization of weakly coupled linear systems composed of n -subsystems

Zoran Gajic, I. Borno

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A transformation is introduced for exact decomposition (block-diagonalization) of linear weakly coupled systems composed of N subsystems. This transformation can also be used for block diagonalization of block-diagonally dominant matrices and, under certain assumptions, it can be applied for block diagonalization of nearly completely decomposable Markov chains. A twelfth-order real-world power system example is included to demonstrate the efficiency of the proposed method.

Original languageEnglish (US)
Pages (from-to)909-912
Number of pages4
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume47
Issue number6
DOIs
StatePublished - Jun 1 2000

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Markov processes
Linear systems
Decomposition

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Keywords

  • Block diagonalization
  • Decoupling
  • Large scale systems
  • Linear systems
  • Weak coupling

Cite this

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AB - A transformation is introduced for exact decomposition (block-diagonalization) of linear weakly coupled systems composed of N subsystems. This transformation can also be used for block diagonalization of block-diagonally dominant matrices and, under certain assumptions, it can be applied for block diagonalization of nearly completely decomposable Markov chains. A twelfth-order real-world power system example is included to demonstrate the efficiency of the proposed method.

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