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.

Keywords

Publication details

DOI
10.24200/squjs.vol10iss0pp77-92
Journal
Sultan Qaboos University Journal for Science, 10, 77
Publisher
Sultan Qaboos University
Open access
Gold open access
License
CC BY 4.0

Cite this article

APA 7

Boudellioua, M. S., & Chentouf, B. (2005). Realization in Generalized State Space form for 2-D Polynomial System Matrices. Sultan Qaboos University Journal for Science, 10, 77. https://doi.org/10.24200/squjs.vol10iss0pp77-92

MLA 9

Boudellioua, Mohamed Salah, and Boumediène Chentouf. "Realization in Generalized State Space form for 2-D Polynomial System Matrices." Sultan Qaboos University Journal for Science, vol. 10, 2005, pp. 77. https://doi.org/10.24200/squjs.vol10iss0pp77-92.

Chicago (author–date)

Boudellioua, Mohamed Salah, and Boumediène Chentouf. 2005. "Realization in Generalized State Space form for 2-D Polynomial System Matrices." Sultan Qaboos University Journal for Science 10: 77. https://doi.org/10.24200/squjs.vol10iss0pp77-92.

Harvard

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, 10, pp. 77. doi:10.24200/squjs.vol10iss0pp77-92.

Vancouver

Boudellioua MS, Chentouf B. Realization in Generalized State Space form for 2-D Polynomial System Matrices. Sultan Qaboos University Journal for Science. 2005;10:77. doi:10.24200/squjs.vol10iss0pp77-92

IEEE

M. S. Boudellioua, and B. Chentouf, "Realization in Generalized State Space form for 2-D Polynomial System Matrices," Sultan Qaboos University Journal for Science, vol. 10, pp. 77, 2005, doi: 10.24200/squjs.vol10iss0pp77-92.