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Article: Input-to-state stability for discrete time-delay systems via the Razumikhin technique
Title | Input-to-state stability for discrete time-delay systems via the Razumikhin technique |
---|---|
Authors | |
Keywords | Discrete Time-Delay System Input-To-State Stability (Iss) Razumikhin-Type Iss Theorem |
Issue Date | 2009 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle |
Citation | Systems And Control Letters, 2009, v. 58 n. 8, p. 567-575 How to Cite? |
Abstract | This paper aims to study the problem of input-to-state stability (ISS) for discrete time-delay systems. By employing the Razumikhin technique and suitable Lyapunov functions, backward and forward Razumikhin-type ISS theorems, that guarantee the global ISS, global asymptotic ISS and global exponential ISS for general discrete time-delay systems are established. Moreover, Razumikhin-type global exponential ISS theorems give the estimation of the convergence speed. As an application, the Razumikhin-type exponential ISS result is used to derive exponential ISS criteria for a class of interconnected discrete systems with coupling time-delays and disturbance inputs. Finally, examples are given to illustrate the results. © 2009 Elsevier B.V. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/169718 |
ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.503 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Liu, B | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:22Z | - |
dc.date.available | 2012-10-25T04:54:22Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Systems And Control Letters, 2009, v. 58 n. 8, p. 567-575 | en_US |
dc.identifier.issn | 0167-6911 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169718 | - |
dc.description.abstract | This paper aims to study the problem of input-to-state stability (ISS) for discrete time-delay systems. By employing the Razumikhin technique and suitable Lyapunov functions, backward and forward Razumikhin-type ISS theorems, that guarantee the global ISS, global asymptotic ISS and global exponential ISS for general discrete time-delay systems are established. Moreover, Razumikhin-type global exponential ISS theorems give the estimation of the convergence speed. As an application, the Razumikhin-type exponential ISS result is used to derive exponential ISS criteria for a class of interconnected discrete systems with coupling time-delays and disturbance inputs. Finally, examples are given to illustrate the results. © 2009 Elsevier 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-Delay System | en_US |
dc.subject | Input-To-State Stability (Iss) | en_US |
dc.subject | Razumikhin-Type Iss Theorem | en_US |
dc.title | Input-to-state stability for discrete time-delay systems via the Razumikhin technique | en_US |
dc.type | Article | 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.doi | 10.1016/j.sysconle.2009.03.008 | en_US |
dc.identifier.scopus | eid_2-s2.0-67349165376 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-67349165376&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 58 | en_US |
dc.identifier.issue | 8 | en_US |
dc.identifier.spage | 567 | en_US |
dc.identifier.epage | 575 | en_US |
dc.identifier.isi | WOS:000267446600004 | - |
dc.publisher.place | Netherlands | en_US |
dc.identifier.scopusauthorid | Liu, B=36079151900 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.citeulike | 5346696 | - |
dc.identifier.issnl | 0167-6911 | - |