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- Publisher Website: 10.1109/TCYB.2019.2908676
- Scopus: eid_2-s2.0-85074090007
- PMID: 31021812
- WOS: WOS:000608690900002
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Article: Reachable Set Estimation and Synthesis for Periodic Positive Systems
| Title | Reachable Set Estimation and Synthesis for Periodic Positive Systems |
|---|---|
| Authors | |
| Keywords | Estimation Linear systems Discrete-time systems Delays Nonlinear systems |
| Issue Date | 2021 |
| Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6221036 |
| Citation | IEEE Transactions on Cybernetics, 2021, v. 51 n. 2, p. 501-511 How to Cite? |
| Abstract | This paper investigates the problems of reachable set estimation and synthesis for periodic positive systems with two different exogenous disturbances. The lifting method and the pseudoperiodic Lyapunov function method are adopted for the estimation problem. The reachable set bounding conditions are proposed by employing Lyapunov-based inequalities and the S-procedure technique. Two optimization methods are used to minimize the bounding hyper-pyramids of the reachable set. In addition, the state-feedback controller design conditions that make the reachable set of closed-loop systems lie within a given hyper-pyramid are derived. Finally, numerical examples are presented to illustrate the validity of the obtained conditions. |
| Persistent Identifier | http://hdl.handle.net/10722/272911 |
| ISSN | 2021 Impact Factor: 19.118 2020 SCImago Journal Rankings: 3.109 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chen, Y | - |
| dc.contributor.author | Lam, J | - |
| dc.contributor.author | Cui, Y | - |
| dc.contributor.author | Shen, J | - |
| dc.contributor.author | Kwok, KW | - |
| dc.date.accessioned | 2019-08-06T09:18:54Z | - |
| dc.date.available | 2019-08-06T09:18:54Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | IEEE Transactions on Cybernetics, 2021, v. 51 n. 2, p. 501-511 | - |
| dc.identifier.issn | 2168-2267 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/272911 | - |
| dc.description.abstract | This paper investigates the problems of reachable set estimation and synthesis for periodic positive systems with two different exogenous disturbances. The lifting method and the pseudoperiodic Lyapunov function method are adopted for the estimation problem. The reachable set bounding conditions are proposed by employing Lyapunov-based inequalities and the S-procedure technique. Two optimization methods are used to minimize the bounding hyper-pyramids of the reachable set. In addition, the state-feedback controller design conditions that make the reachable set of closed-loop systems lie within a given hyper-pyramid are derived. Finally, numerical examples are presented to illustrate the validity of the obtained conditions. | - |
| dc.language | eng | - |
| dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6221036 | - |
| dc.relation.ispartof | IEEE Transactions on Cybernetics | - |
| dc.rights | IEEE Transactions on Cybernetics. Copyright © Institute of Electrical and Electronics Engineers. | - |
| dc.rights | ©2021 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 | Estimation | - |
| dc.subject | Linear systems | - |
| dc.subject | Discrete-time systems | - |
| dc.subject | Delays | - |
| dc.subject | Nonlinear systems | - |
| dc.title | Reachable Set Estimation and Synthesis for Periodic Positive Systems | - |
| dc.type | Article | - |
| dc.identifier.email | Lam, J: jlam@hku.hk | - |
| dc.identifier.email | Cui, Y: cyk312@HKUCC-COM.hku.hk | - |
| dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
| dc.identifier.authority | Lam, J=rp00133 | - |
| dc.identifier.authority | Kwok, KW=rp01924 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1109/TCYB.2019.2908676 | - |
| dc.identifier.pmid | 31021812 | - |
| dc.identifier.scopus | eid_2-s2.0-85074090007 | - |
| dc.identifier.hkuros | 300179 | - |
| dc.identifier.hkuros | 325366 | - |
| dc.identifier.volume | 51 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 501 | - |
| dc.identifier.epage | 511 | - |
| dc.identifier.isi | WOS:000608690900002 | - |
| dc.publisher.place | United States | - |
| dc.identifier.issnl | 2168-2267 | - |