On the partial fraction decomposition of a transfer matrix over an arbitrary field

Autor:	F. Delebecque
Rok vydání:	2003
Předmět:	Polynomial Operator (computer programming) Mathematical analysis Inverse Partial fraction decomposition Transfer matrix Computer Science::Databases Pencil (mathematics) Mathematics Characteristic polynomial Matrix decomposition
Zdroj:	Proceedings of the 28th IEEE Conference on Decision and Control.
DOI:	10.1109/cdc.1989.70361
Popis:	It is known that any generalized (i.e. not necessarily proper) transfer function T can be represented by the inverse of a regular pencil (sE-A). An explicit formula is presented for the partial fraction decomposition of the operator (sE-A)/sup -1/, where E and A are matrices with elements in an arbitrary field. This means that the partial fraction expansion of T that can be performed elementwise can also be expressed directly in terms of operators that are 'generalized' polynomials in A and of the irreducible factors of the characteristic polynomial of the above pencil. >
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a322b0d794d0e498a01e182e66fd240 https://doi.org/10.1109/cdc.1989.70361 Zobrazit plný text záznamu