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- Publisher Website: 10.1109/CDC.2016.7799386
- Scopus: eid_2-s2.0-85010723357
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Conference Paper: On the RMS gain of switched systems via homogeneous rational Lyapunov functions
Title | On the RMS gain of switched systems via homogeneous rational Lyapunov functions |
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Authors | |
Issue Date | 2016 |
Publisher | Institute of Electrical and Electronics Engineers. |
Citation | The 55th IEEE Conference on Decision and Control (CDC), Las Vegas, NV, USA, 12-14 December 2016, p. 7240-7245 How to Cite? |
Abstract | This paper addresses the problem of determining the root mean square (RMS) gain of continuous-time switched linear systems in the case of arbitrary switching. It is shown that a sufficient condition for establishing upper bounds of the RMS gain can be given in terms of a linear matrix inequality (LMI) feasibility test by searching for a homogeneous rational Lyapunov function (HRLF) of any a priori chosen degree. Moreover, it is shown that this condition is also necessary under some assumptions by using HRLF candidates with degree sufficiently large. Some numerical examples illustrate the proposed methodology and the advantages with respect to the existing works. |
Persistent Identifier | http://hdl.handle.net/10722/242513 |
ISSN | 2023 SCImago Journal Rankings: 0.721 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.contributor.author | Colaneri, P | - |
dc.date.accessioned | 2017-07-24T01:40:45Z | - |
dc.date.available | 2017-07-24T01:40:45Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | The 55th IEEE Conference on Decision and Control (CDC), Las Vegas, NV, USA, 12-14 December 2016, p. 7240-7245 | - |
dc.identifier.issn | 0743-1546 | - |
dc.identifier.uri | http://hdl.handle.net/10722/242513 | - |
dc.description.abstract | This paper addresses the problem of determining the root mean square (RMS) gain of continuous-time switched linear systems in the case of arbitrary switching. It is shown that a sufficient condition for establishing upper bounds of the RMS gain can be given in terms of a linear matrix inequality (LMI) feasibility test by searching for a homogeneous rational Lyapunov function (HRLF) of any a priori chosen degree. Moreover, it is shown that this condition is also necessary under some assumptions by using HRLF candidates with degree sufficiently large. Some numerical examples illustrate the proposed methodology and the advantages with respect to the existing works. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. | - |
dc.relation.ispartof | Conference on Decision and Control Proceedings | - |
dc.rights | Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.title | On the RMS gain of switched systems via homogeneous rational Lyapunov functions | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.identifier.doi | 10.1109/CDC.2016.7799386 | - |
dc.identifier.scopus | eid_2-s2.0-85010723357 | - |
dc.identifier.hkuros | 273430 | - |
dc.identifier.spage | 7240 | - |
dc.identifier.epage | 7245 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0743-1546 | - |