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Conference Paper: A Lyapunov approach to analysis of discrete singular systems
Title | A Lyapunov approach to analysis of discrete singular systems |
---|---|
Authors | |
Issue Date | 2001 |
Citation | Proceedings Of The Ieee Conference On Decision And Control, 2001, v. 3, p. 2844-2849 How to Cite? |
Abstract | In this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. |
Persistent Identifier | http://hdl.handle.net/10722/169802 |
ISSN | 2020 SCImago Journal Rankings: 0.395 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhang, QL | en_US |
dc.contributor.author | Liu, WQ | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:55:40Z | - |
dc.date.available | 2012-10-25T04:55:40Z | - |
dc.date.issued | 2001 | en_US |
dc.identifier.citation | Proceedings Of The Ieee Conference On Decision And Control, 2001, v. 3, p. 2844-2849 | en_US |
dc.identifier.issn | 0191-2216 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169802 | - |
dc.description.abstract | In this paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. | en_US |
dc.language | eng | en_US |
dc.relation.ispartof | Proceedings of the IEEE Conference on Decision and Control | en_US |
dc.title | A Lyapunov approach to analysis of discrete singular systems | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Hill, DJ: | en_US |
dc.identifier.authority | Hill, DJ=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0035711131 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0035711131&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 3 | en_US |
dc.identifier.spage | 2844 | en_US |
dc.identifier.epage | 2849 | en_US |
dc.identifier.scopusauthorid | Zhang, QL=7406719568 | en_US |
dc.identifier.scopusauthorid | Liu, WQ=7407343628 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.issnl | 0191-2216 | - |