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

Mohamed S. Boudellioua | Zendy; Boumediène Chentouf | Zendy

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

Author(s) -

Mohamed S. Boudellioua,

Boumediène Chentouf

Publication year - 2005

Publication title -

maǧallaẗ ǧāmiʿaẗ al-sulṭān qābūs li-l-ʿulūm/sultan qaboos university journal for science

Language(s) - English

Resource type - Journals

eISSN - 2414-536X

pISSN - 2308-3921

DOI - 10.24200/squjs.vol10iss0pp77-92

Subject(s) - polynomial matrix , realization (probability) , matrix polynomial , mathematics , transformation matrix , matrix (chemical analysis) , polynomial , transformation (genetics) , equivalence (formal languages) , state space , state (computer science) , coprime integers , pure mathematics , algebra over a field , discrete mathematics , algorithm , mathematical analysis , physics , biochemistry , statistics , materials science , chemistry , kinematics , classical mechanics , composite material , gene

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.

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