On the asymptotical and practical stability of stochastic control systems

The asymptotical and practical stability in probability of stochastic control systems by means of feedback laws is provided. The main results of this work enable us to derive the sufficient conditions for the existence of control Lyapunov function that play a leading role in the existence of stabili...

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Main Authors: Abedi, Fakhreddin, Leong, Wah June, Chaharborj, Sarkhosh Seddighi
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30009/1/On%20the%20asymptotical%20and%20practical%20stability%20of%20stochastic%20control%20systems.pdf
http://psasir.upm.edu.my/id/eprint/30009/
http://dx.doi.org/10.1155/2013/560647
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spelling my.upm.eprints.300092016-02-12T07:09:16Z http://psasir.upm.edu.my/id/eprint/30009/ On the asymptotical and practical stability of stochastic control systems Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi The asymptotical and practical stability in probability of stochastic control systems by means of feedback laws is provided. The main results of this work enable us to derive the sufficient conditions for the existence of control Lyapunov function that play a leading role in the existence of stabilizing feedback laws. Particularly, the sufficient conditions for practical stability in probability are established and numerical examples are also given to illustrate the usefulness of our results. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30009/1/On%20the%20asymptotical%20and%20practical%20stability%20of%20stochastic%20control%20systems.pdf Abedi, Fakhreddin and Leong, Wah June and Chaharborj, Sarkhosh Seddighi (2013) On the asymptotical and practical stability of stochastic control systems. Mathematical Problems in Engineering, 2013 (560647). pp. 1-10. ISSN 1024-123X http://dx.doi.org/10.1155/2013/560647 10.1155/2013/560647
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The asymptotical and practical stability in probability of stochastic control systems by means of feedback laws is provided. The main results of this work enable us to derive the sufficient conditions for the existence of control Lyapunov function that play a leading role in the existence of stabilizing feedback laws. Particularly, the sufficient conditions for practical stability in probability are established and numerical examples are also given to illustrate the usefulness of our results.
format Article
author Abedi, Fakhreddin
Leong, Wah June
Chaharborj, Sarkhosh Seddighi
spellingShingle Abedi, Fakhreddin
Leong, Wah June
Chaharborj, Sarkhosh Seddighi
On the asymptotical and practical stability of stochastic control systems
author_facet Abedi, Fakhreddin
Leong, Wah June
Chaharborj, Sarkhosh Seddighi
author_sort Abedi, Fakhreddin
title On the asymptotical and practical stability of stochastic control systems
title_short On the asymptotical and practical stability of stochastic control systems
title_full On the asymptotical and practical stability of stochastic control systems
title_fullStr On the asymptotical and practical stability of stochastic control systems
title_full_unstemmed On the asymptotical and practical stability of stochastic control systems
title_sort on the asymptotical and practical stability of stochastic control systems
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30009/1/On%20the%20asymptotical%20and%20practical%20stability%20of%20stochastic%20control%20systems.pdf
http://psasir.upm.edu.my/id/eprint/30009/
http://dx.doi.org/10.1155/2013/560647
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score 13.160551