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Analysis and synthesis of matrix transfer functions using the new block-state equations in block-tridiagonal forms

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2 Author(s)
Shieh, L.S. ; University of Houston, Department of Electrical Engineering, Houston, USA ; Tajvari, A.

A new block-Routh array with block-Routh algorithm is developed to extract the greatest common matrix polynomial of two matrix polynomials that are not coprime, and to construct a block-transformation matrix that transforms a block-state equation from a block-companion form to a block-tridiagonal form. The newly developed block-state equation in the block-tridiagonal form is a minimal realisation of a matrix-transfer function. Also, the block-state equation is used to synthesise a driving-point impedance matrix. A stability criterion is then derived to test the stability of a class of matrix transfer functions.

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Control Theory and Applications, IEE Proceedings D  (Volume:127 ,  Issue: 1 )