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Conference Paper: Integral partitioning approach to stability analysis and stabilization of distributed time delay systems
Title | Integral partitioning approach to stability analysis and stabilization of distributed time delay systems |
---|---|
Authors | |
Keywords | Delay dependent Distributed delay Integral partitioning Linear matrix inequalities Stabilization |
Issue Date | 2011 |
Publisher | IFAC. |
Citation | The 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099 How to Cite? |
Abstract | In this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC. |
Persistent Identifier | http://hdl.handle.net/10722/166893 |
ISBN | |
ISSN |
DC Field | Value | Language |
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dc.contributor.author | Feng, Z | en_US |
dc.contributor.author | Lam, J | en_US |
dc.date.accessioned | 2012-09-21T01:43:27Z | - |
dc.date.available | 2012-09-21T01:43:27Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | The 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099 | en_US |
dc.identifier.isbn | 978-3-902661-93-7 | - |
dc.identifier.issn | 1474-6670 | - |
dc.identifier.uri | http://hdl.handle.net/10722/166893 | - |
dc.description.abstract | In this paper, the problems of delay-dependent stability analysis and stabilization are investigated for linear continuous-time systems with distributed delay. By introducing an integral partitioning technique, a new form of Lyapunov-Krasovskii functional (LKF) is constructed and improved distributed delay dependent stability conditions are established in terms of linear matrix inequalities (LMIs). Based on the criteria, a design algorithm for a state feedback controller is proposed. The results developed in this paper are less conservative than existing ones in the literature, which is illustrated by several examples. © 2011 IFAC. | - |
dc.language | eng | en_US |
dc.publisher | IFAC. | - |
dc.relation.ispartof | Proceedings of the 18th IFAC World Congress | en_US |
dc.subject | Delay dependent | - |
dc.subject | Distributed delay | - |
dc.subject | Integral partitioning | - |
dc.subject | Linear matrix inequalities | - |
dc.subject | Stabilization | - |
dc.title | Integral partitioning approach to stability analysis and stabilization of distributed time delay systems | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Feng, Z: oncharge@HKUSUC.hku.hk | en_US |
dc.identifier.email | Lam, J: james.lam@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.3182/20110828-6-IT-1002.00032 | - |
dc.identifier.scopus | eid_2-s2.0-84864562964 | - |
dc.identifier.hkuros | 208811 | en_US |
dc.identifier.volume | 18 | - |
dc.identifier.issue | pt. 1 | - |
dc.identifier.spage | 5094 | en_US |
dc.identifier.epage | 5099 | en_US |
dc.description.other | The 18th World Congress of the International Federation of Automatic Control (IFAC 2011), Milano, Italy, 28 August-2 September 2011. In Proceedings of the 18th IFAC World Congress, 2011, v. 18 pt. 1, p. 5094–5099 | - |
dc.identifier.issnl | 1474-6670 | - |