A permuted factors approach for the linearization of polynomial matrices

Vologiannidis, Stavros/ Antoniou, Efstathios/ Βολογιαννίδης, Σταύρος/ Αντωνίου, Ευστάθιος


Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Keywords: Polynomial matrices;Realizations;Linearizations;Companion matrix;Linear systems
Issue Date: 21-Apr-2011
Publisher: Springer
Citation: Journal: Mathematics of Control, Signals, and Systems,vol.22, no.4, 2011
Vologiannidis, S. & Antoniou, E. (Απρίλιος 2011). A permuted factors approach for the linearization of polynomial matrices. Mathematics of Control, Signals, and Systems. 22(4):317-342.
Applied Linear Algebra Conference, Novi Sad, 2010
Abstract: In Antoniou and Vologiannidis (Electron J Linear Algebra 11:78–87, 2004; 15:107–114, 2006), a new family of companion forms associated with a regular polynomial matrix T (s) has been presented, using products of permutations of n elementary matrices, generalizing similar results presented in Fiedler (Linear Algebra Its Appl 371:325–331, 2003) where the scalar case was considered. In this paper, extending this “permuted factors” approach, we present a broader family of companion-like linearizations, using products of up to n(n−1)/2 elementary matrices, where n is the degree of the polynomial matrix. Under given conditions, the proposed linearizations can be shown to consist of block entries where the coefficients of the polynomial matrix appear intact. Additionally, we provide a criterion for those linearizations to be block symmetric. We also illustrate several new block symmetric linearizations of the original polynomial matrix T (s), where in some of them the constraint of nonsingularity of the constant term and the coefficient of maximum degree are not a prerequisite.
Description: Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2011
URI: http://195.251.240.227/jspui/handle/123456789/10368
ISSN: 1435-568X
0932-4194
Other Identifiers: http://link.springer.com/article/10.1007%2Fs00498-011-0059-6
Item type: other
Submission Date: 2018-02-28T17:06:59Z
Item language: el
Item access scheme: free
Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Appears in Collections:Δημοσιεύσεις σε Περιοδικά

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