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

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2 Author(s)
Z. Gajic ; Dept. of Electr. & Comput. Eng., Rutgers Univ., Piscataway, NJ, USA ; I. Borno

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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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:47 ,  Issue: 6 )