File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/LCSYS.2019.2952622
- Scopus: eid_2-s2.0-85075631396
- WOS: WOS:000618810600012
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: The Lq/Lp Hankel Norms of Positive Systems
Title | The Lq/Lp Hankel Norms of Positive Systems |
---|---|
Authors | |
Keywords | Lq/Lₚ Hankel norm positive system linear programming semidefinite programming |
Issue Date | 2020 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7782633 |
Citation | IEEE Control Systems Letters, 2020, v. 4 n. 2, p. 462-467 How to Cite? |
Abstract | This letter is concerned with the L q /L p Hankel norms of linear time-invariant positive systems, where the Hankel norms are defined as the induced norms from vector-valued L p -past inputs to vector valued L q -future outputs. The L q /L p Hankel norms are studied in detail for general (nonpositive) LTI systems, and closed-form formulas have been derived for their characterization. However, some of them unavoidably include the absolute integral of impulse responses and/or implicit functions in their characterization and hence there remain difficulties in practical computation. In this letter we show that such difficulties are circumvented for positive systems, where positivity drastically facilitates the characterization of the past input that attains the Hankel norm. We also provide linear-programming and semi definite programming-based characterizations of the L q /L p Hankel norms of positive systems, which are useful in the case where we analyze the L q /L p Hankel norms of positive systems affected by parametric uncertainties. |
Persistent Identifier | http://hdl.handle.net/10722/289734 |
ISSN | 2023 Impact Factor: 2.4 2023 SCImago Journal Rankings: 1.597 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ebihara, Y | - |
dc.contributor.author | ZHU, B | - |
dc.contributor.author | Lam, J | - |
dc.date.accessioned | 2020-10-22T08:16:42Z | - |
dc.date.available | 2020-10-22T08:16:42Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | IEEE Control Systems Letters, 2020, v. 4 n. 2, p. 462-467 | - |
dc.identifier.issn | 2475-1456 | - |
dc.identifier.uri | http://hdl.handle.net/10722/289734 | - |
dc.description.abstract | This letter is concerned with the L q /L p Hankel norms of linear time-invariant positive systems, where the Hankel norms are defined as the induced norms from vector-valued L p -past inputs to vector valued L q -future outputs. The L q /L p Hankel norms are studied in detail for general (nonpositive) LTI systems, and closed-form formulas have been derived for their characterization. However, some of them unavoidably include the absolute integral of impulse responses and/or implicit functions in their characterization and hence there remain difficulties in practical computation. In this letter we show that such difficulties are circumvented for positive systems, where positivity drastically facilitates the characterization of the past input that attains the Hankel norm. We also provide linear-programming and semi definite programming-based characterizations of the L q /L p Hankel norms of positive systems, which are useful in the case where we analyze the L q /L p Hankel norms of positive systems affected by parametric uncertainties. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7782633 | - |
dc.relation.ispartof | IEEE Control Systems Letters | - |
dc.rights | IEEE Control Systems Letters. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.rights | ©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Lq/Lₚ Hankel norm | - |
dc.subject | positive system | - |
dc.subject | linear programming | - |
dc.subject | semidefinite programming | - |
dc.title | The Lq/Lp Hankel Norms of Positive 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 | 10.1109/LCSYS.2019.2952622 | - |
dc.identifier.scopus | eid_2-s2.0-85075631396 | - |
dc.identifier.hkuros | 316003 | - |
dc.identifier.volume | 4 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 462 | - |
dc.identifier.epage | 467 | - |
dc.identifier.isi | WOS:000618810600012 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2475-1456 | - |