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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
SpringerOpen
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30266/1/A%20notion%20of%20stability%20in%20probability%20of%20stochastic%20nonlinear%20systems.pdf |
| _version_ | 1796971706566311936 |
|---|---|
| author | Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi |
| author_facet | Abedi, Fakhreddin Leong, Wah June Chaharborj, Sarkhosh Seddighi |
| author_sort | Abedi, Fakhreddin |
| collection | UPM |
| 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 | 2024-03-06T08:16:59Z |
| format | Article |
| id | upm.eprints-30266 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:16:59Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| record_format | dspace |
| spelling | upm.eprints-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/30266/1/A%20notion%20of%20stability%20in%20probability%20of%20stochastic%20nonlinear%20systems.pdf |
| work_keys_str_mv | AT abedifakhreddin anotionofstabilityinprobabilityofstochasticnonlinearsystems AT leongwahjune anotionofstabilityinprobabilityofstochasticnonlinearsystems AT chaharborjsarkhoshseddighi anotionofstabilityinprobabilityofstochasticnonlinearsystems AT abedifakhreddin notionofstabilityinprobabilityofstochasticnonlinearsystems AT leongwahjune notionofstabilityinprobabilityofstochasticnonlinearsystems AT chaharborjsarkhoshseddighi notionofstabilityinprobabilityofstochasticnonlinearsystems |