三类不动点与一类随机动力系统的稳定性OA北大核心CSCDCSTPCD
Three kinds of fixed points and stability of a class of stochastic dynamic systems
不动点理论已被成功地应用于随机动力系统零解稳定性的研究,但Krasnoselskii不动点方法使用的较少.本文在采用Banach和Schauder不动点方法研究的基础上进一步采用Krasnoselskii不动点方法研究了一类随机动力系统零解的指数均方稳定性,得出了使得该系统零解指数均方稳定的充分条件.通过实例与现有文献结论的比较表明,相比于Banach和Schauder等不动点方法,Krasnoselskii不动点方法的应用更加灵活和简便.本文的…查看全部>>
The fixed point theory has been successfully applied onto the study of zero solution stability for stochastic dynamic systems; however, the Krasnoselskii fixed point is relatively less used. In this paper, on the basis of the study for Banach and Schauder fixed point methods, we furtherly use the Krasnoselskii fixed point method to study the mean square exponential stability of zero solution in a class of stochastic dynamic systems. At the same time, we have…查看全部>>
王春生;李永明
广州大学华软软件学院管理系,广东广州510990上饶师范学院数学与计算机科学学院,江西上饶334001
数理科学
动力系统稳定性不动点理论Krasnoselskii不动点方法全连续
dynamical systemstabilityfixed point theoryKrasnoselskii fixed pointcompletely continuous
《控制理论与应用》 2017 (5)
相依样本的统计推断及其应用
677-682,6
国家自然科学基金项目(11061029),广东省自然科学基金项目(2016A030313542),广东省普通高校青年创新人才项目(自然科学)(2015KQNCX 200)资助. Supported by National Natural Science Foundation of China (11061029), Guangdong Natural Science Foundation of China (2016A030313542) and Guangdong Province Youth Innovative Talents Project (Natural Sciences) (2015KQNCX200).
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