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Article: On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems
Title | On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems |
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Authors | |
Keywords | Discrete time negative imaginary systems positive real systems state-space symmetric systems uncertain systems |
Issue Date | 2020 |
Publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp |
Citation | International Journal of Systems Science, 2020, v. 51 n. 8, p. 1406-1417 How to Cite? |
Abstract | This paper provides an analysis of uncertain discrete-time negative imaginary and positive real systems with state-space symmetry. First, a necessary and sufficient condition is provided for a minimal state-space symmetric system to be discrete-time positive real or discrete-time negative imaginary. Then, based on the discrete-time symmetric negative imaginary and positive real lemmas, bounds on symmetrically structured perturbations that maintain the negative imaginariness and positive realness of a discrete-time state-space symmetric system are derived. Finally, an RL network example is provided to illustrate the main results of the paper. |
Description | link_to_subscribed_fulltext |
Persistent Identifier | http://hdl.handle.net/10722/289126 |
ISSN | 2023 Impact Factor: 4.9 2023 SCImago Journal Rankings: 1.851 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, M | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | ZHU, B | - |
dc.contributor.author | Jing, X | - |
dc.date.accessioned | 2020-10-22T08:08:11Z | - |
dc.date.available | 2020-10-22T08:08:11Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | International Journal of Systems Science, 2020, v. 51 n. 8, p. 1406-1417 | - |
dc.identifier.issn | 0020-7721 | - |
dc.identifier.uri | http://hdl.handle.net/10722/289126 | - |
dc.description | link_to_subscribed_fulltext | - |
dc.description.abstract | This paper provides an analysis of uncertain discrete-time negative imaginary and positive real systems with state-space symmetry. First, a necessary and sufficient condition is provided for a minimal state-space symmetric system to be discrete-time positive real or discrete-time negative imaginary. Then, based on the discrete-time symmetric negative imaginary and positive real lemmas, bounds on symmetrically structured perturbations that maintain the negative imaginariness and positive realness of a discrete-time state-space symmetric system are derived. Finally, an RL network example is provided to illustrate the main results of the paper. | - |
dc.language | eng | - |
dc.publisher | Taylor & Francis Ltd. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/00207721.asp | - |
dc.relation.ispartof | International Journal of Systems Science | - |
dc.rights | AOM/Preprint Before Accepted: his article has been accepted for publication in [JOURNAL TITLE], published by Taylor & Francis. AOM/Preprint After Accepted: This is an [original manuscript / preprint] of an article published by Taylor & Francis in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/[Article DOI]. Accepted Manuscript (AM) i.e. Postprint This is an Accepted Manuscript of an article published by Taylor & Francis in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/[Article DOI]. | - |
dc.subject | Discrete time | - |
dc.subject | negative imaginary systems | - |
dc.subject | positive real systems | - |
dc.subject | state-space symmetric systems | - |
dc.subject | uncertain systems | - |
dc.title | On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric 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 | 10.1080/00207721.2020.1764129 | - |
dc.identifier.scopus | eid_2-s2.0-85085490052 | - |
dc.identifier.hkuros | 316005 | - |
dc.identifier.volume | 51 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | 1406 | - |
dc.identifier.epage | 1417 | - |
dc.identifier.isi | WOS:000536716400005 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0020-7721 | - |