A notion of stability in probability of stochastic nonlinear systems: Doc 661
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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| Veröffentlicht in: | Advances in difference equations 2013-12, Vol.2013, p.1 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. MSC: 60H10, 93C10, 93D05, 93D15, 93D21, 93E15.[PUBLICATION ABSTRACT] |
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| ISSN: | 1687-1839 1687-1847 |
| DOI: | 10.1186/1687-1847-2013-363 |