Realization in Generalized State Space form for 2-D Polynomial System Matrices

• Main Authors: M.S. Boudellioua, B. Chentouf
• Format: Article
• Language: English
• Published: Sultan Qaboos University 2005-06-01
• Series: Sultan Qaboos University Journal for Science
• Subjects: 2-D Systems, system matrix, generalized state space form, zero coprime system equivalence, invariant polynomials, invariant zeros, grobner bases.
• Online Access: https://journals.squ.edu.om/index.php/squjs/article/view/333
• ISSN: 1027-524X; 2414-536X

In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) form, such that all the relevant properties including the zero structure of the system matrix are retained. It is shown that the transformation linking the original 2-D polynomial system matrix with its associated GSS form is zero coprime system equivalence. The exact nature of the resulting system matrix in GSS form and the transformation involved are established.