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

Authors

M.S. Boudellioua, Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Sultanate of Oman
B. Chentouf, Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Sultanate of Oman

Abstract

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.

Recommended Citation

Boudellioua, M.S. and Chentouf, B. (2005) Realization in Generalized State Space form for 2-D Polynomial System Matrices, Sultan Qaboos University Journal For Science: Vol. 10: Iss. 1, 77-92.
DOI: https://doi.org/10.24200/squjs.vol10iss0pp77-92
Available at: https://squjs.squ.edu.om/squjs/vol10/iss1/3