Exponential stability of some interconnected stochastic control systems with non-trivial equilibria
This paper investigates the exponential stability of some interconnected stochastic control systems with non-trivial equilibria, for which the considered interconnected systems are induced by the composition of some stochastic subsystems. Of particular interest is the notion of stability with respec...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Lavoisier
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/97234/ http://psasir.upm.edu.my/id/eprint/97234/1/ABSTRACT.pdf |
| _version_ | 1848862548680507392 |
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| author | Abedi, Fakhreddin Leong, Wah June Shahemabadi, Ali Rafiei |
| author_facet | Abedi, Fakhreddin Leong, Wah June Shahemabadi, Ali Rafiei |
| author_sort | Abedi, Fakhreddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper investigates the exponential stability of some interconnected stochastic control systems with non-trivial equilibria, for which the considered interconnected systems are induced by the composition of some stochastic subsystems. Of particular interest is the notion of stability with respect to a set containing the non-trivial equilibria. It is shown that the exponential stability of the interconnected or composite feedback control systems can be deduced from the stability of the isolated subsystems. Using the preliminary results concerning practical exponential stability of continuous-time stochastic systems that without a common equilibria, we present sufficient conditions for practical exponential stability of the composite system based upon a computable feedback law that would also render the set containing all non-trivial equilibrium solutions of each stochastic subsystem with the same stability. Finally, several illustrative examples are presented to show the applicability of the results. |
| first_indexed | 2025-11-15T13:18:47Z |
| format | Article |
| id | upm-97234 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:18:47Z |
| publishDate | 2021 |
| publisher | Lavoisier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-972342022-09-12T08:41:19Z http://psasir.upm.edu.my/id/eprint/97234/ Exponential stability of some interconnected stochastic control systems with non-trivial equilibria Abedi, Fakhreddin Leong, Wah June Shahemabadi, Ali Rafiei This paper investigates the exponential stability of some interconnected stochastic control systems with non-trivial equilibria, for which the considered interconnected systems are induced by the composition of some stochastic subsystems. Of particular interest is the notion of stability with respect to a set containing the non-trivial equilibria. It is shown that the exponential stability of the interconnected or composite feedback control systems can be deduced from the stability of the isolated subsystems. Using the preliminary results concerning practical exponential stability of continuous-time stochastic systems that without a common equilibria, we present sufficient conditions for practical exponential stability of the composite system based upon a computable feedback law that would also render the set containing all non-trivial equilibrium solutions of each stochastic subsystem with the same stability. Finally, several illustrative examples are presented to show the applicability of the results. Lavoisier 2021 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/97234/1/ABSTRACT.pdf Abedi, Fakhreddin and Leong, Wah June and Shahemabadi, Ali Rafiei (2021) Exponential stability of some interconnected stochastic control systems with non-trivial equilibria. European Journal of Control, 58. 174 - 182. ISSN 0947-3580 https://www.sciencedirect.com/science/article/pii/S0947358019305035 10.1016/j.ejcon.2020.08.011 |
| spellingShingle | Abedi, Fakhreddin Leong, Wah June Shahemabadi, Ali Rafiei Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title | Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title_full | Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title_fullStr | Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title_full_unstemmed | Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title_short | Exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| title_sort | exponential stability of some interconnected stochastic control systems with non-trivial equilibria |
| url | http://psasir.upm.edu.my/id/eprint/97234/ http://psasir.upm.edu.my/id/eprint/97234/ http://psasir.upm.edu.my/id/eprint/97234/ http://psasir.upm.edu.my/id/eprint/97234/1/ABSTRACT.pdf |