Synthesis of multi-input Volterra systems by a topological assemblage scheme

The Volterra series expansion is widely employed to represent the input-output relationship of nonlinear dynamical systems. Such a representation is based on the Volterra frequency-response functions (VFRF), which can be calculated from the equation governing the system by the so-called harmonic pro...

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Main Authors:	Carassale L., Kareem A.
Format:	Article
Language:	English
Published:	EDP Sciences 2012-07-01
Series:	MATEC Web of Conferences
Online Access:	http://dx.doi.org/10.1051/matecconf/20120110012

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spelling	doaj-8aba451485c64a3a8775d23aa82690882021-02-02T00:52:57ZengEDP SciencesMATEC Web of Conferences2261-236X2012-07-0111001210.1051/matecconf/20120110012Synthesis of multi-input Volterra systems by a topological assemblage schemeCarassale L.Kareem A.The Volterra series expansion is widely employed to represent the input-output relationship of nonlinear dynamical systems. Such a representation is based on the Volterra frequency-response functions (VFRF), which can be calculated from the equation governing the system by the so-called harmonic probing method. This operation is straightforward for simple systems, may reach a prohibitive level of complexity for multiple-input systems when the calculation of a high-order VFRF is required. An alternative technique for the evaluation of the VFRFs of multiple-input systems is here presented generalizing an existing technique originally limited to the scalar case. A 2-dof mechanical example is used to illustrate the application of the technique. http://dx.doi.org/10.1051/matecconf/20120110012
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Carassale L. Kareem A.
spellingShingle	Carassale L. Kareem A. Synthesis of multi-input Volterra systems by a topological assemblage scheme MATEC Web of Conferences
author_facet	Carassale L. Kareem A.
author_sort	Carassale L.
title	Synthesis of multi-input Volterra systems by a topological assemblage scheme
title_short	Synthesis of multi-input Volterra systems by a topological assemblage scheme
title_full	Synthesis of multi-input Volterra systems by a topological assemblage scheme
title_fullStr	Synthesis of multi-input Volterra systems by a topological assemblage scheme
title_full_unstemmed	Synthesis of multi-input Volterra systems by a topological assemblage scheme
title_sort	synthesis of multi-input volterra systems by a topological assemblage scheme
publisher	EDP Sciences
series	MATEC Web of Conferences
issn	2261-236X
publishDate	2012-07-01
description	The Volterra series expansion is widely employed to represent the input-output relationship of nonlinear dynamical systems. Such a representation is based on the Volterra frequency-response functions (VFRF), which can be calculated from the equation governing the system by the so-called harmonic probing method. This operation is straightforward for simple systems, may reach a prohibitive level of complexity for multiple-input systems when the calculation of a high-order VFRF is required. An alternative technique for the evaluation of the VFRFs of multiple-input systems is here presented generalizing an existing technique originally limited to the scalar case. A 2-dof mechanical example is used to illustrate the application of the technique.
url	http://dx.doi.org/10.1051/matecconf/20120110012
work_keys_str_mv	AT carassalel synthesisofmultiinputvolterrasystemsbyatopologicalassemblagescheme AT kareema synthesisofmultiinputvolterrasystemsbyatopologicalassemblagescheme
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Synthesis of multi-input Volterra systems by a topological assemblage scheme

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