Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure.
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| Title: | Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure. |
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| Authors: | Azhmyakov, Vadim1, Angulo, Marco Tulio2 darkbyte@gmail.com |
| Source: | International Journal of Systems Science. Nov2011, Vol. 42 Issue 11, p1899-1907. 9p. |
| Subjects: | Switching theory, Differential inclusions, Nonlinear systems, Differential equations, Approximation theory, Robust control, Mathematical proofs |
| Abstract: | This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Systems Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 66183444 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Azhmyakov%2C+Vadim%22">Azhmyakov, Vadim</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Angulo%2C+Marco+Tulio%22">Angulo, Marco Tulio</searchLink><relatesTo>2</relatesTo><i> darkbyte@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Systems+Science%22">International Journal of Systems Science</searchLink>. Nov2011, Vol. 42 Issue 11, p1899-1907. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Switching+theory%22">Switching theory</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+inclusions%22">Differential inclusions</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+proofs%22">Mathematical proofs</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Systems Science is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00207721.2011.570879 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1899 Subjects: – SubjectFull: Switching theory Type: general – SubjectFull: Differential inclusions Type: general – SubjectFull: Nonlinear systems Type: general – SubjectFull: Differential equations Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Robust control Type: general – SubjectFull: Mathematical proofs Type: general Titles: – TitleFull: Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Azhmyakov, Vadim – PersonEntity: Name: NameFull: Angulo, Marco Tulio IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2011 Type: published Y: 2011 Identifiers: – Type: issn-print Value: 00207721 Numbering: – Type: volume Value: 42 – Type: issue Value: 11 Titles: – TitleFull: International Journal of Systems Science Type: main |
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