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- Publisher Website: 10.1109/ChiCC.2015.7259617
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Conference Paper: Generalized H2 performance analysis of periodic piecewise systems
| Title | Generalized H2 performance analysis of periodic piecewise systems |
|---|---|
| Authors | |
| Keywords | Generalized H2 performance Periodic System Time-varying System |
| Issue Date | 2015 |
| Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331 |
| Citation | The 34th Chinese Control Conference and SICE Annual Conference (CCC & SICE 2015), Hangzhou, China, 28-30 July 2015. In Conference Proceedings, 2015, p. 77-82 How to Cite? |
| Abstract | This paper analyses the generalized H2 performance for a class of continuous-time periodic piecewise linear systems with possibly non-Hurwitz subsystems. A sufficient criterion is proposed in terms of matrix inequalities by employing a time-varying Lyapunov function which is formulated with periodic a continuous linear time-varying Lyapunov matrix. The Lyapunov function deceases non-monotonically over a period. Also, by using a Lyapunov function with common decreasing rates respectively for all Hurwitz subsystems and all non-Hurwitz subsystems over their operating intervals, a simplified stability criterion is established. A numerical example is given to illustrate the effect and feasibility of the proposed techniques. |
| Description | Session - System Theory and Control Theory |
| Persistent Identifier | http://hdl.handle.net/10722/227546 |
| ISSN | 2020 SCImago Journal Rankings: 0.152 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, P | - |
| dc.contributor.author | Lam, J | - |
| dc.contributor.author | Cheung, KC | - |
| dc.date.accessioned | 2016-07-18T09:11:21Z | - |
| dc.date.available | 2016-07-18T09:11:21Z | - |
| dc.date.issued | 2015 | - |
| dc.identifier.citation | The 34th Chinese Control Conference and SICE Annual Conference (CCC & SICE 2015), Hangzhou, China, 28-30 July 2015. In Conference Proceedings, 2015, p. 77-82 | - |
| dc.identifier.issn | 1934-1768 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/227546 | - |
| dc.description | Session - System Theory and Control Theory | - |
| dc.description.abstract | This paper analyses the generalized H2 performance for a class of continuous-time periodic piecewise linear systems with possibly non-Hurwitz subsystems. A sufficient criterion is proposed in terms of matrix inequalities by employing a time-varying Lyapunov function which is formulated with periodic a continuous linear time-varying Lyapunov matrix. The Lyapunov function deceases non-monotonically over a period. Also, by using a Lyapunov function with common decreasing rates respectively for all Hurwitz subsystems and all non-Hurwitz subsystems over their operating intervals, a simplified stability criterion is established. A numerical example is given to illustrate the effect and feasibility of the proposed techniques. | - |
| dc.language | eng | - |
| dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://www.ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1001331 | - |
| dc.relation.ispartof | Chinese Control Conference Proceedings | - |
| dc.rights | Chinese Control Conference. Copyright © Institute of Electrical and Electronics Engineers. | - |
| dc.rights | ©2015 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 | Generalized H2 performance | - |
| dc.subject | Periodic System | - |
| dc.subject | Time-varying System | - |
| dc.title | Generalized H2 performance analysis of periodic piecewise systems | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Lam, J: jlam@hku.hk | - |
| dc.identifier.email | Cheung, KC: kccheung@hku.hk | - |
| dc.identifier.authority | Lam, J=rp00133 | - |
| dc.identifier.authority | Cheung, KC=rp01322 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1109/ChiCC.2015.7259617 | - |
| dc.identifier.scopus | eid_2-s2.0-84946551518 | - |
| dc.identifier.hkuros | 259421 | - |
| dc.identifier.spage | 77 | - |
| dc.identifier.epage | 82 | - |
| dc.publisher.place | United States | - |
| dc.customcontrol.immutable | sml 160808 | - |
| dc.identifier.issnl | 1934-1768 | - |