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- Publisher Website: 10.1109/TAC.2015.2434011
- Scopus: eid_2-s2.0-84961762817
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Article: Stabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization
Title | Stabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization |
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Authors | |
Keywords | Input saturation Parameter dependence Riccati equation / inequality Stabilizing solution Synchronization |
Issue Date | 2016 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 |
Citation | IEEE Transactions on Automatic Control, 2016, v. 61 n. 1, p. 228-233 How to Cite? |
Abstract | This technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation. |
Persistent Identifier | http://hdl.handle.net/10722/217093 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chen, MZ | - |
dc.contributor.author | Zhang, L | - |
dc.contributor.author | Su, H | - |
dc.contributor.author | Chen, G | - |
dc.date.accessioned | 2015-09-18T05:47:57Z | - |
dc.date.available | 2015-09-18T05:47:57Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2016, v. 61 n. 1, p. 228-233 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/217093 | - |
dc.description.abstract | This technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation. | - |
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=9 | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.rights | IEEE Transactions on Automatic Control. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.subject | Input saturation | - |
dc.subject | Parameter dependence | - |
dc.subject | Riccati equation / inequality | - |
dc.subject | Stabilizing solution | - |
dc.subject | Synchronization | - |
dc.title | Stabilizing solution and parameter dependence of modified Algebraic Riccati Equation with application to discrete-time network synchronization | - |
dc.type | Article | - |
dc.identifier.email | Chen, MZ: mzqchen@hku.hk | - |
dc.identifier.authority | Chen, MZ=rp01317 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TAC.2015.2434011 | - |
dc.identifier.scopus | eid_2-s2.0-84961762817 | - |
dc.identifier.hkuros | 250960 | - |
dc.identifier.volume | 61 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 228 | - |
dc.identifier.epage | 233 | - |
dc.identifier.isi | WOS:000367285200023 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0018-9286 | - |