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- Publisher Website: 10.1016/j.jfranklin.2021.02.028
- Scopus: eid_2-s2.0-85102901427
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Article: Comparison of two polynomial approaches in performance analysis for periodic piecewise polynomial systems
Title | Comparison of two polynomial approaches in performance analysis for periodic piecewise polynomial systems |
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Authors | |
Issue Date | 2021 |
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/jfranklin |
Citation | Journal of the Franklin Institute, 2021, v. 358 n. 7, p. 3868-3883 How to Cite? |
Abstract | In this paper, the theory and effectiveness of two polynomial approaches are compared in the analysis of L2-L∞ and H∞ performance for a type of periodic piecewise polynomial systems, where the time-varying subsystems can be characterized in Bernstein polynomials. Using the Bernstein polynomial-based lemma and the existing lemma concerning the negativity/positivity of matrix polynomial functions, sufficient conditions are established in tractable forms aimed at the global asymptotic stability and performance analysis. Four cases of optimization constraints are considered based on the proposed conditions. The performance indices obtained via the four cases are compared through a numerical example, and the lower conservatism achieved by the proposed Bernstein polynomial approach is demonstrated. © 2021 The Franklin Institute |
Persistent Identifier | http://hdl.handle.net/10722/301634 |
ISSN | 2021 Impact Factor: 4.246 2020 SCImago Journal Rankings: 1.005 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xie, X | - |
dc.contributor.author | Liu, J | - |
dc.contributor.author | Fan, C | - |
dc.date.accessioned | 2021-08-09T03:41:56Z | - |
dc.date.available | 2021-08-09T03:41:56Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Journal of the Franklin Institute, 2021, v. 358 n. 7, p. 3868-3883 | - |
dc.identifier.issn | 0016-0032 | - |
dc.identifier.uri | http://hdl.handle.net/10722/301634 | - |
dc.description.abstract | In this paper, the theory and effectiveness of two polynomial approaches are compared in the analysis of L2-L∞ and H∞ performance for a type of periodic piecewise polynomial systems, where the time-varying subsystems can be characterized in Bernstein polynomials. Using the Bernstein polynomial-based lemma and the existing lemma concerning the negativity/positivity of matrix polynomial functions, sufficient conditions are established in tractable forms aimed at the global asymptotic stability and performance analysis. Four cases of optimization constraints are considered based on the proposed conditions. The performance indices obtained via the four cases are compared through a numerical example, and the lower conservatism achieved by the proposed Bernstein polynomial approach is demonstrated. © 2021 The Franklin Institute | - |
dc.language | eng | - |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/jfranklin | - |
dc.relation.ispartof | Journal of the Franklin Institute | - |
dc.title | Comparison of two polynomial approaches in performance analysis for periodic piecewise polynomial systems | - |
dc.type | Article | - |
dc.identifier.email | Xie, X: xcxie@connect.hku.hk | - |
dc.identifier.email | Liu, J: liujinr@hku.hk | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jfranklin.2021.02.028 | - |
dc.identifier.scopus | eid_2-s2.0-85102901427 | - |
dc.identifier.hkuros | 323866 | - |
dc.identifier.volume | 358 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | 3868 | - |
dc.identifier.epage | 3883 | - |
dc.identifier.isi | WOS:000678374900009 | - |
dc.publisher.place | United Kingdom | - |