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
fDate :
6/1/2000 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
