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Article: Input–output gain analysis of positive periodic systems
| Title | Input–output gain analysis of positive periodic systems |
|---|---|
| Authors | |
| Keywords | duality input–output gain periodic systems positive systems |
| Issue Date | 2021 |
| Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 |
| Citation | International Journal of Robust and Nonlinear Control, 2021, v. 31 n. 8, p. 2928-2945 How to Cite? |
| Abstract | This paper investigates the input-output gains, including ℓ1- and ℓ∞-gains and L1- and L∞-gains, of discrete-time and continuous-time positive periodic systems. For the discrete-time case, the input–output gain can be characterized by linear inequalities. For the continuous-time case, the input–output gain characterization problem turns into the existence problem of a positive periodic vector function. Based on some necessary and sufficient input–output gain conditions, we find the ℓ1- (L1-) gain of discrete-time (continuous-time) positive periodic systems is equivalent to the of ℓ∞- (L∞-) gain of the associated dual systems. Finally, two numerical examples are given to illustrate the results. |
| Persistent Identifier | http://hdl.handle.net/10722/304254 |
| ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | ZHU, B | - |
| dc.contributor.author | Lam, J | - |
| dc.contributor.author | Ebihara, Y | - |
| dc.date.accessioned | 2021-09-23T08:57:25Z | - |
| dc.date.available | 2021-09-23T08:57:25Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | International Journal of Robust and Nonlinear Control, 2021, v. 31 n. 8, p. 2928-2945 | - |
| dc.identifier.issn | 1049-8923 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/304254 | - |
| dc.description.abstract | This paper investigates the input-output gains, including ℓ1- and ℓ∞-gains and L1- and L∞-gains, of discrete-time and continuous-time positive periodic systems. For the discrete-time case, the input–output gain can be characterized by linear inequalities. For the continuous-time case, the input–output gain characterization problem turns into the existence problem of a positive periodic vector function. Based on some necessary and sufficient input–output gain conditions, we find the ℓ1- (L1-) gain of discrete-time (continuous-time) positive periodic systems is equivalent to the of ℓ∞- (L∞-) gain of the associated dual systems. Finally, two numerical examples are given to illustrate the results. | - |
| dc.language | eng | - |
| dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | - |
| dc.relation.ispartof | International Journal of Robust and Nonlinear Control | - |
| dc.rights | Submitted (preprint) Version This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Accepted (peer-reviewed) Version This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
| dc.subject | duality | - |
| dc.subject | input–output gain | - |
| dc.subject | periodic systems | - |
| dc.subject | positive systems | - |
| dc.title | Input–output gain analysis of positive periodic systems | - |
| dc.type | Article | - |
| dc.identifier.email | Lam, J: jlam@hku.hk | - |
| dc.identifier.authority | Lam, J=rp00133 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1002/rnc.5438 | - |
| dc.identifier.scopus | eid_2-s2.0-85101054305 | - |
| dc.identifier.hkuros | 325372 | - |
| dc.identifier.volume | 31 | - |
| dc.identifier.issue | 8 | - |
| dc.identifier.spage | 2928 | - |
| dc.identifier.epage | 2945 | - |
| dc.identifier.isi | WOS:000619215600001 | - |
| dc.publisher.place | United Kingdom | - |