Linearizations of polynomial matrices with symmetries and their applications

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


Institution and School/Department of submitter: ΤΕΙ Θεσσαλονίκης
Keywords: Πολυώνυμη περιγραφή πίνακα;Μαθηματικός προγραμματισμός;Polynomial methods;Finite difference method;Finite element analysis;Polynomial matrices;Mathematical programming;Polynomial matrix description (PMDs);Linearization;Πολυώνυμοι πίνακες;Ανάλυση πεπερασμένων στοιχείων;Μέθοδος πεπερασμένων διαφορών;Πολυώνυμες μέθοδοι
Issue Date: 2006
Publisher: IEEE
Citation: Antoniou, E. & Vologiannidis, S. (Φεβρουάριος 2006). Linearizations of Polynomial Matrices with Symmetries and Their Applications.. Electronic Journal of Linear Algebra. 15:107-114.
Journal: Electronic Journal of Linear Algebra, vol.15, 2006
IEEE International Symposium on Intelligent Control, Mediterranean Conference on Control and Automation, Limassol, 2005
Abstract: In an earlier paper by the present authors, a new family of companion forms associated with a regular polynomial matrix was presented, generalizing similar results by M. Fiedler who considered the scalar case. This family of companion forms preserves both the finite and infinite elementary divisor structure of the original polynomial matrix, thus all its members can be seen as linearizations of the corresponding polynomial matrix. In this note, its applications on polynomial matrices with symmetries, which appear in a number of engineering fields, are examined.
Description: Δημοσιεύσεις μελών--ΣΤΕΦ--Τμήμα Μηχανικών Πληροφορικής, 2006
URI: http://195.251.240.227/jspui/handle/123456789/10355
ISSN: 1081-3810
Other Identifiers: 10.1109/.2005.1467008
http://www.emis.de/journals/ELA/ela-articles/articles/vol15_pp107-114.pdf
Item type: other
Submission Date: 2018-02-28T17:06:53Z
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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