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A method to obtain the semi-canonical Morse's form of a linear multivariable system
Authors:J Ruiz-León  JL Orozco
Institution:a CINVESTAV-IPN, Unidad Guadalajara, Av. Científica 1145, Col. El Bajío, 45015 Zapopan, Jalisco, Mexico
b InstitutoTecnológico de Aguascalientes, Av. López Mateos 1801 Ote. C.P. 20256, Aguascalientes, Mexico
Abstract:A method is presented in this paper to obtain an element of a transformation group, which takes a state space representation of a linear multivariable system to its semi-canonical Morse's form. The system under consideration is supposed to be right invertible, controllable and with no invariant zeros. The element of the transformation group involves state feedback, permutation of outputs and change of basis in states and inputs.
Keywords:Linear multivariable systems  System structure  Canonical forms  Semi-canonical Morse's form
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