Additional properties and applications of matrix continued fraction†
L. S. SHTEH, Chaitanya Patel, H. Z. CHOW · International Journal of Systems Science · 1977
Additional properties and applications of matrix continued fraction are investigated. The state-space equations, which are the minimal realizations of a transfer-function matrix with various dimensions, are formulated in the coordinates of the second Cauer matrix form and the phase variable matrix form by a linear transformation. An algebraic method is derived to obtain the reduction and inversion of a transfer-function matrix with various dimensions.