文章基本信息

标题：A notion of stability in probability of stochastic nonlinear systems
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作者：Fakhreddin Abedi ; Wah June Leong ; Sarkhosh Seddighi Chaharborj 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：363
DOI：10.1186/1687-1847-2013-363
语种：English
出版社：Hindawi Publishing Corporation
摘要：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.
关键词：stability in probability ; stochastic nonlinear systems ; Lyapunov technique