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Article: Stabilisation of hybrid stochastic differential equations by delay feedback control
| Title | Stabilisation of hybrid stochastic differential equations by delay feedback control | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Authors | |||||||||||
| Keywords | Brownian motion Exponential mean-square stability Linear Matrix inequality Markov chain | ||||||||||
| Issue Date | 2008 | ||||||||||
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | ||||||||||
| Citation | Systems And Control Letters, 2008, v. 57 n. 11, p. 927-935 How to Cite? | ||||||||||
| Abstract | This paper is concerned with the exponential mean-square stabilisation of hybrid stochastic differential equations (also known as stochastic differential equations with Markovian switching) by delay feedback controls. Although the stabilisation by non-delay feedback controls for such equations has been discussed by several authors, there is so far little on the stabilisation by delay feedback controls and our aim here is mainly to close the gap. To make our theory more understandable as well as to avoid complicated notations, we will restrict our underlying hybrid stochastic differential equations to a relatively simple form. However our theory can certainly be developed to cope with much more general equations without any difficulty. © 2008 Elsevier B.V. All rights reserved. | ||||||||||
| Persistent Identifier | http://hdl.handle.net/10722/59070 | ||||||||||
| ISSN | 2023 Impact Factor: 2.1 2023 SCImago Journal Rankings: 1.503 | ||||||||||
| ISI Accession Number ID |
Funding Information: The authors would like to thank the referees for the helpful comments and suggestions. This paper was initiated during X. Mao visited the University of Hong Kong in early 2007 and lie wishes to thank the hospitality of the Department of Mechanical Engineering there. The authors would also like to thank the financial supports from RGC HKU 7029/05P, the National Natural Science Foundation of China (grants 60574025 and 60740430664), UK ORSAS and Strathclyde University. | ||||||||||
| References |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Mao, X | en_HK |
| dc.contributor.author | Lam, J | en_HK |
| dc.contributor.author | Huang, L | en_HK |
| dc.date.accessioned | 2010-05-31T03:42:22Z | - |
| dc.date.available | 2010-05-31T03:42:22Z | - |
| dc.date.issued | 2008 | en_HK |
| dc.identifier.citation | Systems And Control Letters, 2008, v. 57 n. 11, p. 927-935 | en_HK |
| dc.identifier.issn | 0167-6911 | en_HK |
| dc.identifier.uri | http://hdl.handle.net/10722/59070 | - |
| dc.description.abstract | This paper is concerned with the exponential mean-square stabilisation of hybrid stochastic differential equations (also known as stochastic differential equations with Markovian switching) by delay feedback controls. Although the stabilisation by non-delay feedback controls for such equations has been discussed by several authors, there is so far little on the stabilisation by delay feedback controls and our aim here is mainly to close the gap. To make our theory more understandable as well as to avoid complicated notations, we will restrict our underlying hybrid stochastic differential equations to a relatively simple form. However our theory can certainly be developed to cope with much more general equations without any difficulty. © 2008 Elsevier B.V. All rights reserved. | en_HK |
| dc.language | eng | en_HK |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/sysconle | en_HK |
| dc.relation.ispartof | Systems and Control Letters | en_HK |
| dc.rights | Systems & Control Letters. Copyright © Elsevier BV. | - |
| dc.subject | Brownian motion | en_HK |
| dc.subject | Exponential mean-square stability | en_HK |
| dc.subject | Linear Matrix inequality | en_HK |
| dc.subject | Markov chain | en_HK |
| dc.title | Stabilisation of hybrid stochastic differential equations by delay feedback control | en_HK |
| dc.type | Article | en_HK |
| dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6911&volume=57&issue=11&spage=927&epage=935&date=2008&atitle=Stabilisation+of+hybrid+stochastic+differential+equations+by+delay+feedback+control | - |
| dc.identifier.email | Lam, J:james.lam@hku.hk | en_HK |
| dc.identifier.authority | Lam, J=rp00133 | en_HK |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.sysconle.2008.05.002 | en_HK |
| dc.identifier.scopus | eid_2-s2.0-50949092185 | en_HK |
| dc.identifier.hkuros | 164182 | en_HK |
| dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-50949092185&selection=ref&src=s&origin=recordpage | en_HK |
| dc.identifier.volume | 57 | en_HK |
| dc.identifier.issue | 11 | en_HK |
| dc.identifier.spage | 927 | en_HK |
| dc.identifier.epage | 935 | en_HK |
| dc.identifier.isi | WOS:000259833800007 | - |
| dc.publisher.place | Netherlands | en_HK |
| dc.identifier.scopusauthorid | Mao, X=7402841531 | en_HK |
| dc.identifier.scopusauthorid | Lam, J=7201973414 | en_HK |
| dc.identifier.scopusauthorid | Huang, L=36008697000 | en_HK |
| dc.identifier.citeulike | 2943124 | - |
| dc.identifier.issnl | 0167-6911 | - |