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Lyapunov characterization for the stability of stochastic control systems

Lyapunov-like characterization for the problem of input-to-state stability in the probability of nonautonomous stochastic control systems is established. We extend the well-known Artstein-Sontag theorem to derive the necessary and sufficient conditions for the input-to-state stabilization of stochas...

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Main Authors: Abedi, Fakhreddin, Leong, Wah June, Abedi, Mohammad
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2015
Online Access:http://psasir.upm.edu.my/id/eprint/34406/1/Lyapunov%20Characterization%20for%20the%20Stability%20of.pdf
http://psasir.upm.edu.my/id/eprint/34406/
http://www.hindawi.com/journals/mpe/2015/584935/abs/
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spelling my.upm.eprints.344062015-12-15T01:12:20Z http://psasir.upm.edu.my/id/eprint/34406/ Lyapunov characterization for the stability of stochastic control systems Abedi, Fakhreddin Leong, Wah June Abedi, Mohammad Lyapunov-like characterization for the problem of input-to-state stability in the probability of nonautonomous stochastic control systems is established. We extend the well-known Artstein-Sontag theorem to derive the necessary and sufficient conditions for the input-to-state stabilization of stochastic control systems. Illustrating example is provided. Hindawi Publishing Corporation 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34406/1/Lyapunov%20Characterization%20for%20the%20Stability%20of.pdf Abedi, Fakhreddin and Leong, Wah June and Abedi, Mohammad (2015) Lyapunov characterization for the stability of stochastic control systems. Mathematical Problems in Engineering, 2015. art. no. 584935. pp. 1-7. ISSN 1024-123X; ESSN: 1563-5147 http://www.hindawi.com/journals/mpe/2015/584935/abs/ 10.1155/2015/584935
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 Lyapunov-like characterization for the problem of input-to-state stability in the probability of nonautonomous stochastic control systems is established. We extend the well-known Artstein-Sontag theorem to derive the necessary and sufficient conditions for the input-to-state stabilization of stochastic control systems. Illustrating example is provided.
format Article
author Abedi, Fakhreddin
Leong, Wah June
Abedi, Mohammad
spellingShingle Abedi, Fakhreddin
Leong, Wah June
Abedi, Mohammad
Lyapunov characterization for the stability of stochastic control systems
author_facet Abedi, Fakhreddin
Leong, Wah June
Abedi, Mohammad
author_sort Abedi, Fakhreddin
title Lyapunov characterization for the stability of stochastic control systems
title_short Lyapunov characterization for the stability of stochastic control systems
title_full Lyapunov characterization for the stability of stochastic control systems
title_fullStr Lyapunov characterization for the stability of stochastic control systems
title_full_unstemmed Lyapunov characterization for the stability of stochastic control systems
title_sort lyapunov characterization for the stability of stochastic control systems
publisher Hindawi Publishing Corporation
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/34406/1/Lyapunov%20Characterization%20for%20the%20Stability%20of.pdf
http://psasir.upm.edu.my/id/eprint/34406/
http://www.hindawi.com/journals/mpe/2015/584935/abs/
_version_ 1643831144659025920
score 13.160551

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