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Article: Razumikhin method and exponential stability of hybrid stochastic delay interval systems
Title | Razumikhin method and exponential stability of hybrid stochastic delay interval systems |
---|---|
Authors | |
Keywords | Brownian Motion Exponential Stability Interval Matrix M-Matrix Markov Chain Razumikhin Method |
Issue Date | 2006 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa |
Citation | Journal Of Mathematical Analysis And Applications, 2006, v. 314 n. 1, p. 45-66 How to Cite? |
Abstract | This paper deals with the exponential stability of hybrid stochastic delay interval systems (also known as stochastic delay interval systems with Markovian switching). The known results in this area (see, e.g., [X., Mao, Exponential stability of stochastic delay interval systems with Markovian switching, IEEE Trans. Automat. Control 47 (10) (2002) 1604-1612]) require the time delay to be a constant or a differentiable function and the main reason for such a restriction is due to the analysis of mathematics. The main aim of this paper is to remove this restriction to allow the time delay to be a bounded variable only. The Razumikhin method is developed to cope with the difficulty arisen from the nondifferentiability of the time delay. © 2005 Elsevier Inc. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/156801 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.816 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mao, X | en_US |
dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Xu, S | en_US |
dc.contributor.author | Gao, H | en_US |
dc.date.accessioned | 2012-08-08T08:44:01Z | - |
dc.date.available | 2012-08-08T08:44:01Z | - |
dc.date.issued | 2006 | en_US |
dc.identifier.citation | Journal Of Mathematical Analysis And Applications, 2006, v. 314 n. 1, p. 45-66 | en_US |
dc.identifier.issn | 0022-247X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156801 | - |
dc.description.abstract | This paper deals with the exponential stability of hybrid stochastic delay interval systems (also known as stochastic delay interval systems with Markovian switching). The known results in this area (see, e.g., [X., Mao, Exponential stability of stochastic delay interval systems with Markovian switching, IEEE Trans. Automat. Control 47 (10) (2002) 1604-1612]) require the time delay to be a constant or a differentiable function and the main reason for such a restriction is due to the analysis of mathematics. The main aim of this paper is to remove this restriction to allow the time delay to be a bounded variable only. The Razumikhin method is developed to cope with the difficulty arisen from the nondifferentiability of the time delay. © 2005 Elsevier Inc. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | en_US |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | en_US |
dc.subject | Brownian Motion | en_US |
dc.subject | Exponential Stability | en_US |
dc.subject | Interval Matrix | en_US |
dc.subject | M-Matrix | en_US |
dc.subject | Markov Chain | en_US |
dc.subject | Razumikhin Method | en_US |
dc.title | Razumikhin method and exponential stability of hybrid stochastic delay interval 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 | 10.1016/j.jmaa.2005.03.056 | en_US |
dc.identifier.scopus | eid_2-s2.0-28844481520 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-28844481520&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 314 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 45 | en_US |
dc.identifier.epage | 66 | en_US |
dc.identifier.isi | WOS:000233882200004 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Mao, X=7402841531 | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_US |
dc.identifier.scopusauthorid | Gao, H=7402971422 | en_US |
dc.identifier.issnl | 0022-247X | - |