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- Publisher Website: 10.1080/00207721.2018.1501518
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Article: Reachable set estimation for switched positive systems
Title | Reachable set estimation for switched positive systems |
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Authors | |
Keywords | Discrete-time systems Hyper-pyramid Lyapunov methods Reachable set estimation Switched positive systems |
Issue Date | 2018 |
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, 2018, v. 49 n. 11, p. 2341-2352 How to Cite? |
Abstract | This paper focuses on the problem of reachable set estimation for discrete-time switched positive systems under two possible classes of exogenous disturbance. The multiple linear copositive Lyapunov function approach is applied to determine the bounding hyper-pyramids for the reachable set. Based on some Lyapunov-based inequalities and the linear version of the S-procedure technique, the bounding hyper-pyramids for the reachable set can be determined by solving a set of inequalities. Two optimisation methods are adopted to make the bounding hyper-pyramids as small as possible. Genetic Algorithm (GA) is utilised to search for the optimal value of the decision variables in the obtained inequalities. Finally, numerical examples are given to illustrate the effectiveness of the theoretical findings. |
Persistent Identifier | http://hdl.handle.net/10722/272270 |
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 | Chen, Y | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Shen, J | - |
dc.contributor.author | Du, B | - |
dc.contributor.author | Li, P | - |
dc.date.accessioned | 2019-07-20T10:39:00Z | - |
dc.date.available | 2019-07-20T10:39:00Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | International Journal of Systems Science, 2018, v. 49 n. 11, p. 2341-2352 | - |
dc.identifier.issn | 0020-7721 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272270 | - |
dc.description.abstract | This paper focuses on the problem of reachable set estimation for discrete-time switched positive systems under two possible classes of exogenous disturbance. The multiple linear copositive Lyapunov function approach is applied to determine the bounding hyper-pyramids for the reachable set. Based on some Lyapunov-based inequalities and the linear version of the S-procedure technique, the bounding hyper-pyramids for the reachable set can be determined by solving a set of inequalities. Two optimisation methods are adopted to make the bounding hyper-pyramids as small as possible. Genetic Algorithm (GA) is utilised to search for the optimal value of the decision variables in the obtained inequalities. Finally, numerical examples are given to illustrate the effectiveness of the theoretical findings. | - |
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.subject | Discrete-time systems | - |
dc.subject | Hyper-pyramid | - |
dc.subject | Lyapunov methods | - |
dc.subject | Reachable set estimation | - |
dc.subject | Switched positive systems | - |
dc.title | Reachable set estimation for switched 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 | 10.1080/00207721.2018.1501518 | - |
dc.identifier.scopus | eid_2-s2.0-85050907375 | - |
dc.identifier.hkuros | 299321 | - |
dc.identifier.volume | 49 | - |
dc.identifier.issue | 11 | - |
dc.identifier.spage | 2341 | - |
dc.identifier.epage | 2352 | - |
dc.identifier.isi | WOS:000444258700006 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0020-7721 | - |