File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1093/imamci/21.4.377
- Scopus: eid_2-s2.0-8644278152
- Find via
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Article: Stabilization and H∞ control of two-dimensional Markovian jump systems
Title | Stabilization and H∞ control of two-dimensional Markovian jump systems |
---|---|
Authors | |
Keywords | 2D System H∞ Control Linear Matrix Inequality Markovian Jump System Stochastic Stabilization |
Issue Date | 2004 |
Publisher | Oxford University Press. The Journal's web site is located at http://imamci.oxfordjournals.org/ |
Citation | Ima Journal Of Mathematical Control And Information, 2004, v. 21 n. 4, p. 377-392 How to Cite? |
Abstract | This paper extends the results obtained for one-dimensional Markovian jump systems, to investigate the problems of stochastic stabilization and H∞ control of two-dimensional (2D) systems with Markovian jump parameters. The mathematical model of 2D jump systems is established upon the well-known Roesser model, and sufficient conditions are obtained for the existence of desired controllers in terms of linear matrix inequalities, which can be readily solved by available numerical software. These obtained results are further extended to more general cases whose system matrices also contain parameter uncertainties represented by either polytopic or norm-bounded approaches. A numerical example is provided to show the applicability of the proposed theories. © Institute of Mathematics and its Applications 2004; all rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/157209 |
ISSN | 2023 Impact Factor: 1.6 2023 SCImago Journal Rankings: 0.483 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gao, H | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Xu, S | en_US |
dc.contributor.author | Wang, C | en_US |
dc.date.accessioned | 2012-08-08T08:45:50Z | - |
dc.date.available | 2012-08-08T08:45:50Z | - |
dc.date.issued | 2004 | en_US |
dc.identifier.citation | Ima Journal Of Mathematical Control And Information, 2004, v. 21 n. 4, p. 377-392 | en_US |
dc.identifier.issn | 0265-0754 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/157209 | - |
dc.description.abstract | This paper extends the results obtained for one-dimensional Markovian jump systems, to investigate the problems of stochastic stabilization and H∞ control of two-dimensional (2D) systems with Markovian jump parameters. The mathematical model of 2D jump systems is established upon the well-known Roesser model, and sufficient conditions are obtained for the existence of desired controllers in terms of linear matrix inequalities, which can be readily solved by available numerical software. These obtained results are further extended to more general cases whose system matrices also contain parameter uncertainties represented by either polytopic or norm-bounded approaches. A numerical example is provided to show the applicability of the proposed theories. © Institute of Mathematics and its Applications 2004; all rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Oxford University Press. The Journal's web site is located at http://imamci.oxfordjournals.org/ | en_US |
dc.relation.ispartof | IMA Journal of Mathematical Control and Information | en_US |
dc.subject | 2D System | en_US |
dc.subject | H∞ Control | en_US |
dc.subject | Linear Matrix Inequality | en_US |
dc.subject | Markovian Jump System | en_US |
dc.subject | Stochastic Stabilization | en_US |
dc.title | Stabilization and H∞ control of two-dimensional Markovian jump systems | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1093/imamci/21.4.377 | en_US |
dc.identifier.scopus | eid_2-s2.0-8644278152 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-8644278152&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 21 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 377 | en_US |
dc.identifier.epage | 392 | en_US |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_US |
dc.identifier.scopusauthorid | Wang, C=8337851300 | en_US |
dc.identifier.issnl | 0265-0754 | - |