Strict System Equivalence of 2D Linear Discrete State Space Models
Author(s) -
Mohamed S. Boudellioua
Publication year - 2012
Publication title -
journal of control science and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.208
H-Index - 18
eISSN - 1687-5257
pISSN - 1687-5249
DOI - 10.1155/2012/609276
Subject(s) - equivalence (formal languages) , mathematics , connection (principal bundle) , basis (linear algebra) , transformation (genetics) , state space , transformation matrix , matrix equivalence , linear map , matrix (chemical analysis) , polynomial , pure mathematics , algebra over a field , mathematical analysis , matrix analysis , geometry , eigenvalues and eigenvectors , physics , chemistry , quantum mechanics , materials science , composite material , gene , biochemistry , statistics , kinematics , classical mechanics
The connection between the polynomial matrix descriptions (PMDs) of the well-known regular and singular 2D linear discrete state space models is considered. It is shown that the transformation of strict system equivalence in the sense of Fuhrmann provides the basis for this connection. The exact form of the transformation is established for both the regular and singular cases
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