An algorithm for the realization of generalized linear systems via Taylor series expansion about an arbitrary point ``a''
type: Item
instance of: scholarly article
title: An algorithm for the realization of generalized linear systems via Taylor series expansion about an arbitrary point ``a''
zbMATH Open document ID: 0625.93014
DOI: 10.1016/0016-0032(87)90063-9
author: Basil G. Mertzios
author: M. A. Christodoulou
author: George Vachtsevanos
published in: Journal of the Franklin Institute
publication date: 1987-01-01T00:00:00Z
review text: An algorithm is developed for the realization of generalized state space linear systems via Taylor series expansion about a nominal point ``a''. The algorithm provides minimal, finite dimensional realizations when the data of the external description, such as the impulse response or the frequency response matrices are given. The presented algorithm is exact, is computationally simple and easily programmable to a digital computer and finally may lead to every possible minimal realization of a given input-output relation.
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 34A99
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 4016689
zbMATH Keywords: algorithm
zbMATH Keywords: realization of generalized state space linear systems
zbMATH Keywords: Taylor series expansion
zbMATH Keywords: minimal realization
MaRDI profile type: Publication
full work available at URL: 0016-0032(87)90063-9
OpenAlex ID: W2089165490
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description: scientific article; zbMATH DE number 4016689