Stability and Stabilization of Two-Dimensional LTI Switched Systems with Potentially Unstable Focus.
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| Title: | Stability and Stabilization of Two-Dimensional LTI Switched Systems with Potentially Unstable Focus. |
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| Authors: | Zhu, Liying |
| Source: | Asian Journal of Control. May2015, Vol. 17 Issue 3, p892-907. 16p. |
| Subjects: | Image stabilization, Invariant imbedding, Asymptotic distribution, Stability constants, Definite integrals |
| Abstract: | This paper investigates stability and stabilization of two-dimensional switched linear time-invariant (LTI) systems with potentially unstable focus. For the case that the origin is a single common focus of all subsystems, we first give continuous positive definite functions related only to the elements of subsystems' state matrices. Then, based on the continuous positive definite functions obtained, this paper proposes several sufficient conditions of stability/asymptotic stability/instability of the kind of switched LTI systems. By means of the stability results proposed, global asymptotic stabilizing controls (GASC), global asymptotic stabilizing switching paths (GASSP) and corresponding algorithms are designed for two-dimensional switched LTI systems with focus. Finally, two illustrative examples and numerical simulations demonstrate the effectiveness of the new stability and stabilization results obtained in this paper. [ABSTRACT FROM AUTHOR] |
| Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 102447421 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Stability and Stabilization of Two-Dimensional LTI Switched Systems with Potentially Unstable Focus. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhu%2C+Liying%22">Zhu, Liying</searchLink> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. May2015, Vol. 17 Issue 3, p892-907. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Image+stabilization%22">Image stabilization</searchLink><br /><searchLink fieldCode="DE" term="%22Invariant+imbedding%22">Invariant imbedding</searchLink><br /><searchLink fieldCode="DE" term="%22Asymptotic+distribution%22">Asymptotic distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+constants%22">Stability constants</searchLink><br /><searchLink fieldCode="DE" term="%22Definite+integrals%22">Definite integrals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper investigates stability and stabilization of two-dimensional switched linear time-invariant (LTI) systems with potentially unstable focus. For the case that the origin is a single common focus of all subsystems, we first give continuous positive definite functions related only to the elements of subsystems' state matrices. Then, based on the continuous positive definite functions obtained, this paper proposes several sufficient conditions of stability/asymptotic stability/instability of the kind of switched LTI systems. By means of the stability results proposed, global asymptotic stabilizing controls (GASC), global asymptotic stabilizing switching paths (GASSP) and corresponding algorithms are designed for two-dimensional switched LTI systems with focus. Finally, two illustrative examples and numerical simulations demonstrate the effectiveness of the new stability and stabilization results obtained in this paper. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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: 10.1002/asjc.938 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 892 Subjects: – SubjectFull: Image stabilization Type: general – SubjectFull: Invariant imbedding Type: general – SubjectFull: Asymptotic distribution Type: general – SubjectFull: Stability constants Type: general – SubjectFull: Definite integrals Type: general Titles: – TitleFull: Stability and Stabilization of Two-Dimensional LTI Switched Systems with Potentially Unstable Focus. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhu, Liying IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 15618625 Numbering: – Type: volume Value: 17 – Type: issue Value: 3 Titles: – TitleFull: Asian Journal of Control Type: main |
| ResultId | 1 |
