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- Publisher Website: 10.1109/ACC.2015.7171874
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Conference Paper: Stability and L2-gain analysis of periodic piecewise linear systems
| Title | Stability and L2-gain analysis of periodic piecewise linear systems |
|---|---|
| Authors | |
| Issue Date | 2015 |
| Publisher | American Automatic Control Council. The Journal's website is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?reload=true&punumber=1000030 |
| Citation | The 2015 American Control Conference (ACC 2015), Chicago, IL., 1-3 July 2015. In American Control Conference Proceedings, 2015, p. 3509-3514 How to Cite? |
| Abstract | This paper investigates the stability and L2-gain problems for a class of continuous-time periodic piecewise linear systems with possibly non-Hurwitz subsystems. First, the exponential stability of periodic piecewise systems is studied by allowing the Lyapunov function to possibly non-monotonically decreasing over a period. A sufficient condition is established in terms of matrix inequalities. In light of the proposed Lyapunov function, the L2-gain criterion is derived for periodic piecewise linear systems as well. © 2015 American Automatic Control Council. |
| Persistent Identifier | http://hdl.handle.net/10722/227545 |
| ISBN | |
| ISSN | 2020 SCImago Journal Rankings: 0.457 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Li, P | - |
| dc.contributor.author | Lam, J | - |
| dc.contributor.author | Chen, Y | - |
| dc.contributor.author | Cheung, KC | - |
| dc.contributor.author | Niu, Y | - |
| dc.date.accessioned | 2016-07-18T09:11:21Z | - |
| dc.date.available | 2016-07-18T09:11:21Z | - |
| dc.date.issued | 2015 | - |
| dc.identifier.citation | The 2015 American Control Conference (ACC 2015), Chicago, IL., 1-3 July 2015. In American Control Conference Proceedings, 2015, p. 3509-3514 | - |
| dc.identifier.isbn | 978-1-4799-8685-9 | - |
| dc.identifier.issn | 0743-1619 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/227545 | - |
| dc.description.abstract | This paper investigates the stability and L2-gain problems for a class of continuous-time periodic piecewise linear systems with possibly non-Hurwitz subsystems. First, the exponential stability of periodic piecewise systems is studied by allowing the Lyapunov function to possibly non-monotonically decreasing over a period. A sufficient condition is established in terms of matrix inequalities. In light of the proposed Lyapunov function, the L2-gain criterion is derived for periodic piecewise linear systems as well. © 2015 American Automatic Control Council. | - |
| dc.language | eng | - |
| dc.publisher | American Automatic Control Council. The Journal's website is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?reload=true&punumber=1000030 | - |
| dc.relation.ispartof | American Control Conference Proceedings | - |
| dc.title | Stability and L2-gain analysis of periodic piecewise linear 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/ACC.2015.7171874 | - |
| dc.identifier.scopus | eid_2-s2.0-84940935463 | - |
| dc.identifier.hkuros | 259420 | - |
| dc.identifier.spage | 3509 | - |
| dc.identifier.epage | 3514 | - |
| dc.publisher.place | United States | - |
| dc.customcontrol.immutable | sml 160804 | - |
| dc.identifier.issnl | 0743-1619 | - |