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Stabilization of some composite stochastic control systems with nontrivial solutions

This paper deals with the global stability for some composite stochastic control systems with nontrivial solutions by means of dynamic feedback laws. In particular, we establish feedback law for global asymptotic stabilization of a control subsystem deduced from the composite stochastic system and a...

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Main Authors: Abedi, Fakhreddin, Leong, Wah June
Format: Article
Language:English
Published: Elsevier 2017
Online Access:http://psasir.upm.edu.my/id/eprint/63279/1/Stabilization%20of%20some%20composite%20stochastic%20control%20systems%20with%20nontrivial%20solutions.pdf
http://psasir.upm.edu.my/id/eprint/63279/
https://www.sciencedirect.com/science/article/pii/S0947358017302595
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spelling my.upm.eprints.632792019-10-10T00:34:14Z http://psasir.upm.edu.my/id/eprint/63279/ Stabilization of some composite stochastic control systems with nontrivial solutions Abedi, Fakhreddin Leong, Wah June This paper deals with the global stability for some composite stochastic control systems with nontrivial solutions by means of dynamic feedback laws. In particular, we establish feedback law for global asymptotic stabilization of a control subsystem deduced from the composite stochastic system and apply the result to stabilize the original composite stochastic system. Under this framework, firstly we derive necessary and sufficient conditions for the existence of feedback law which renders a ball that contains all nontrivial equilibrium solutions of the stochastic control subsystem globally asymptotically stable in probability. Secondly, for the composite system, we give the sufficient conditions for practical global asymptotic stability of the composite system based upon the feedback law derived for the subsystem. Numerical examples are given to validate our results. Elsevier 2017-11 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/63279/1/Stabilization%20of%20some%20composite%20stochastic%20control%20systems%20with%20nontrivial%20solutions.pdf Abedi, Fakhreddin and Leong, Wah June (2017) Stabilization of some composite stochastic control systems with nontrivial solutions. European Journal of Control, 38. pp. 16-21. ISSN 0947-3580; ESSN: 1435-5671 https://www.sciencedirect.com/science/article/pii/S0947358017302595 10.1016/j.ejcon.2017.07.001
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 This paper deals with the global stability for some composite stochastic control systems with nontrivial solutions by means of dynamic feedback laws. In particular, we establish feedback law for global asymptotic stabilization of a control subsystem deduced from the composite stochastic system and apply the result to stabilize the original composite stochastic system. Under this framework, firstly we derive necessary and sufficient conditions for the existence of feedback law which renders a ball that contains all nontrivial equilibrium solutions of the stochastic control subsystem globally asymptotically stable in probability. Secondly, for the composite system, we give the sufficient conditions for practical global asymptotic stability of the composite system based upon the feedback law derived for the subsystem. Numerical examples are given to validate our results.
format Article
author Abedi, Fakhreddin
Leong, Wah June
spellingShingle Abedi, Fakhreddin
Leong, Wah June
Stabilization of some composite stochastic control systems with nontrivial solutions
author_facet Abedi, Fakhreddin
Leong, Wah June
author_sort Abedi, Fakhreddin
title Stabilization of some composite stochastic control systems with nontrivial solutions
title_short Stabilization of some composite stochastic control systems with nontrivial solutions
title_full Stabilization of some composite stochastic control systems with nontrivial solutions
title_fullStr Stabilization of some composite stochastic control systems with nontrivial solutions
title_full_unstemmed Stabilization of some composite stochastic control systems with nontrivial solutions
title_sort stabilization of some composite stochastic control systems with nontrivial solutions
publisher Elsevier
publishDate 2017
url http://psasir.upm.edu.my/id/eprint/63279/1/Stabilization%20of%20some%20composite%20stochastic%20control%20systems%20with%20nontrivial%20solutions.pdf
http://psasir.upm.edu.my/id/eprint/63279/
https://www.sciencedirect.com/science/article/pii/S0947358017302595
_version_ 1648738140247031808
score 13.211869

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