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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/34406/ http://psasir.upm.edu.my/id/eprint/34406/1/Lyapunov%20Characterization%20for%20the%20Stability%20of.pdf |
| _version_ | 1848847763724304384 |
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| author | Abedi, Fakhreddin Leong, Wah June Abedi, Mohammad |
| author_facet | Abedi, Fakhreddin Leong, Wah June Abedi, Mohammad |
| author_sort | Abedi, Fakhreddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T09:23:47Z |
| format | Article |
| id | upm-34406 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:23:47Z |
| publishDate | 2015 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Abedi, Fakhreddin Leong, Wah June Abedi, Mohammad Lyapunov characterization for the stability of stochastic control systems |
| title | 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_short | Lyapunov characterization for the stability of stochastic control systems |
| title_sort | lyapunov characterization for the stability of stochastic control systems |
| url | http://psasir.upm.edu.my/id/eprint/34406/ http://psasir.upm.edu.my/id/eprint/34406/ http://psasir.upm.edu.my/id/eprint/34406/ http://psasir.upm.edu.my/id/eprint/34406/1/Lyapunov%20Characterization%20for%20the%20Stability%20of.pdf |