A notion of stability in probability of stochastic nonlinear systems
The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems are analyzed in terms of a control Lyapunov function which is smooth except possibly at the origin. We show under certain hypothesis that the neighborhood of the origin is stable in probability. An illu...
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| Format: | Article |
| Language: | English English |
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SpringerOpen
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30266/ http://psasir.upm.edu.my/id/eprint/30266/1/A%20notion%20of%20stability%20in%20probability%20of%20stochastic%20nonlinear%20systems.pdf |
| _version_ | 1848846628445749248 |
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| author | Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi |
| author_facet | Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi |
| author_sort | Abedi, Fakhreddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems are analyzed in terms of a control Lyapunov function which is smooth except possibly at the origin. We show under certain hypothesis that the neighborhood of the origin is stable in probability. An illustrating example is provided. |
| first_indexed | 2025-11-15T09:05:44Z |
| format | Article |
| id | upm-30266 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T09:05:44Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-302662015-09-02T04:24:10Z http://psasir.upm.edu.my/id/eprint/30266/ A notion of stability in probability of stochastic nonlinear systems Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems are analyzed in terms of a control Lyapunov function which is smooth except possibly at the origin. We show under certain hypothesis that the neighborhood of the origin is stable in probability. An illustrating example is provided. SpringerOpen 2013-12 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30266/1/A%20notion%20of%20stability%20in%20probability%20of%20stochastic%20nonlinear%20systems.pdf Abedi, Fakhreddin and Leong, Wah June and Chaharborj, Sarkhosh Seddighi (2013) A notion of stability in probability of stochastic nonlinear systems. Advances in Difference Equations, 2013. art. no. 363. pp. 1-8. ISSN 1687-1839; ESSN: 1687-1847 10.1186/1687-1847-2013-363 English |
| spellingShingle | Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi A notion of stability in probability of stochastic nonlinear systems |
| title | A notion of stability in probability of stochastic nonlinear systems |
| title_full | A notion of stability in probability of stochastic nonlinear systems |
| title_fullStr | A notion of stability in probability of stochastic nonlinear systems |
| title_full_unstemmed | A notion of stability in probability of stochastic nonlinear systems |
| title_short | A notion of stability in probability of stochastic nonlinear systems |
| title_sort | notion of stability in probability of stochastic nonlinear systems |
| url | http://psasir.upm.edu.my/id/eprint/30266/ http://psasir.upm.edu.my/id/eprint/30266/ http://psasir.upm.edu.my/id/eprint/30266/1/A%20notion%20of%20stability%20in%20probability%20of%20stochastic%20nonlinear%20systems.pdf |