File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/CDC.2015.7403159
- Scopus: eid_2-s2.0-84962027558
- Find via
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Conference Paper: On the robust asymptotical stability of uncertain complex matrices over the complex unit circumference
Title | On the robust asymptotical stability of uncertain complex matrices over the complex unit circumference |
---|---|
Authors | |
Keywords | Asymptotic stability Linear matrix inequalities Lyapunov methods Mathematical model Robustness Symmetric matrices Uncertainty |
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=1000188 |
Citation | The 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15-18 December 2015. In IEEE Conference on Decision and Control Proceedings, 2015, p. 5978-5983 How to Cite? |
Abstract | This paper addresses the problem of establishing whether a complex matrix depending polynomially on a scalar parameter and its conjugate constrained over the complex unit circumference is robustly asymptotically stable in either the continuous-time case or the discrete-time case. A necessary and sufficient condition is proposed in terms of a linear matrix inequality (LMI) feasibility test based on complex Lyapunov functions depending polynomially on the uncertainty. Specifically, the condition is sufficient for any arbitrarily chosen degree of the Lyapunov function. Moreover, the condition is also necessary for a sufficiently large degree of the Lyapunov function, and an upper bound on the minimum degree required for achieving necessity is also provided. Some numerical examples illustrate the proposed results. © 2015 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/227529 |
ISBN | |
ISSN |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2016-07-18T09:11:15Z | - |
dc.date.available | 2016-07-18T09:11:15Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | The 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15-18 December 2015. In IEEE Conference on Decision and Control Proceedings, 2015, p. 5978-5983 | - |
dc.identifier.isbn | 978-1-4799-7884-7 | - |
dc.identifier.issn | 0743-1546 | - |
dc.identifier.uri | http://hdl.handle.net/10722/227529 | - |
dc.description.abstract | This paper addresses the problem of establishing whether a complex matrix depending polynomially on a scalar parameter and its conjugate constrained over the complex unit circumference is robustly asymptotically stable in either the continuous-time case or the discrete-time case. A necessary and sufficient condition is proposed in terms of a linear matrix inequality (LMI) feasibility test based on complex Lyapunov functions depending polynomially on the uncertainty. Specifically, the condition is sufficient for any arbitrarily chosen degree of the Lyapunov function. Moreover, the condition is also necessary for a sufficiently large degree of the Lyapunov function, and an upper bound on the minimum degree required for achieving necessity is also provided. Some numerical examples illustrate the proposed results. © 2015 IEEE. | - |
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=1000188 | - |
dc.relation.ispartof | IEEE Conference on Decision and Control Proceedings | - |
dc.rights | IEEE Conference on Decision and Control Proceedings. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.subject | Asymptotic stability | - |
dc.subject | Linear matrix inequalities | - |
dc.subject | Lyapunov methods | - |
dc.subject | Mathematical model | - |
dc.subject | Robustness | - |
dc.subject | Symmetric matrices | - |
dc.subject | Uncertainty | - |
dc.title | On the robust asymptotical stability of uncertain complex matrices over the complex unit circumference | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CDC.2015.7403159 | - |
dc.identifier.scopus | eid_2-s2.0-84962027558 | - |
dc.identifier.hkuros | 259220 | - |
dc.identifier.spage | 5978 | - |
dc.identifier.epage | 5983 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 160804 | - |
dc.identifier.issnl | 0743-1546 | - |