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Conference Paper: On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions
| Title | On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions |
|---|---|
| Authors | |
| Keywords | Linear systems Lyapunov methods |
| Issue Date | 2014 |
| Publisher | International Federation of Automatic Control. The Conference proceedings' website is located at http://www.ifac-papersonline.net/World_Congress/Proceedings_of_the_19th_IFAC_World_Congress__2014/index.html |
| Citation | The 19th World Congress of the International Federation of Automatic Control (IFAC 2014), Cape Town, South Africa, 24-29 August 2014. In Conference Proceedings, 2014, p. 5568-5573 How to Cite? |
| Abstract | This paper addresses the problem of determining the H-infinity norm of 2D mixed continuous-discrete-time systems. A novel approach is proposed based on the use of a class of complex Lyapunov functions with rational dependence on a parameter, which provides upper bounds on the sought norm via linear matrix inequalities (LMIs). It is also shown that the provided upper bounds are nonconservative by using rational functions in the chosen class with degree sufficiently large. Some numerical examples illustrate the proposed approach. |
| Persistent Identifier | http://hdl.handle.net/10722/211396 |
| ISSN |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chesi, G | - |
| dc.contributor.author | Middleton, RH | - |
| dc.date.accessioned | 2015-07-10T07:05:50Z | - |
| dc.date.available | 2015-07-10T07:05:50Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier.citation | The 19th World Congress of the International Federation of Automatic Control (IFAC 2014), Cape Town, South Africa, 24-29 August 2014. In Conference Proceedings, 2014, p. 5568-5573 | - |
| dc.identifier.issn | 1474-6670 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/211396 | - |
| dc.description.abstract | This paper addresses the problem of determining the H-infinity norm of 2D mixed continuous-discrete-time systems. A novel approach is proposed based on the use of a class of complex Lyapunov functions with rational dependence on a parameter, which provides upper bounds on the sought norm via linear matrix inequalities (LMIs). It is also shown that the provided upper bounds are nonconservative by using rational functions in the chosen class with degree sufficiently large. Some numerical examples illustrate the proposed approach. | - |
| dc.language | eng | - |
| dc.publisher | International Federation of Automatic Control. The Conference proceedings' website is located at http://www.ifac-papersonline.net/World_Congress/Proceedings_of_the_19th_IFAC_World_Congress__2014/index.html | - |
| dc.relation.ispartof | Proceedings of the 19th IFAC World Congress, 2014 | - |
| dc.subject | Linear systems | - |
| dc.subject | Lyapunov methods | - |
| dc.title | On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
| dc.identifier.authority | Chesi, G=rp00100 | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.doi | 10.3182/20140824-6-ZA-1003.00974 | - |
| dc.identifier.scopus | eid_2-s2.0-84929833013 | - |
| dc.identifier.hkuros | 245057 | - |
| dc.identifier.spage | 5568 | - |
| dc.identifier.epage | 5573 | - |
| dc.identifier.issnl | 1474-6670 | - |