DocumentCode
1360820
Title
General transformation for block diagonalization of weakly coupled linear systems composed of N-subsystems
Author
Gajic, Z. ; Borno, I.
Author_Institution
Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA
Volume
47
Issue
6
fYear
2000
fDate
6/1/2000 12:00:00 AM
Firstpage
909
Lastpage
912
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
Keywords
Markov processes; large-scale systems; linear systems; power system control; N-subsystems; block diagonalization; exact decomposition; nearly completely decomposable Markov chains; twelfth-order real-world power system; weakly coupled linear systems; Control systems; Eigenvalues and eigenfunctions; Large-scale systems; Linear systems; Mathematics; Matrix decomposition; Power engineering and energy; Power generation economics; Power system economics; Power systems;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.852944
Filename
852944
Link To Document