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Article: A lyapunov approach to analysis of discrete singular systems
Title | A lyapunov approach to analysis of discrete singular systems |
---|---|
Authors | |
Keywords | Discrete-Time Singular Systems Lyapunov Equation Pole Clustering Stability |
Issue Date | 2002 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle |
Citation | Systems And Control Letters, 2002, v. 45 n. 3, p. 237-247 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. © 2002 Elsevier Science B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/169682 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.503 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhang, QL | en_US |
dc.contributor.author | Liu, WQ | en_US |
dc.contributor.author | Hill, D | en_US |
dc.date.accessioned | 2012-10-25T04:54:09Z | - |
dc.date.available | 2012-10-25T04:54:09Z | - |
dc.date.issued | 2002 | en_US |
dc.identifier.citation | Systems And Control Letters, 2002, v. 45 n. 3, p. 237-247 | en_US |
dc.identifier.issn | 0167-6911 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169682 | - |
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. © 2002 Elsevier Science B.V. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | en_US |
dc.relation.ispartof | Systems and Control Letters | en_US |
dc.subject | Discrete-Time Singular Systems | en_US |
dc.subject | Lyapunov Equation | en_US |
dc.subject | Pole Clustering | en_US |
dc.subject | Stability | en_US |
dc.title | A lyapunov approach to analysis of discrete singular systems | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hill, D: | en_US |
dc.identifier.authority | Hill, D=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/S0167-6911(01)00184-0 | en_US |
dc.identifier.scopus | eid_2-s2.0-0037086852 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0037086852&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 45 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 237 | en_US |
dc.identifier.epage | 247 | en_US |
dc.identifier.isi | WOS:000174148800008 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Zhang, QL=7406719568 | en_US |
dc.identifier.scopusauthorid | Liu, WQ=7407343628 | en_US |
dc.identifier.scopusauthorid | Hill, D=35398599500 | en_US |
dc.identifier.issnl | 0167-6911 | - |