| 随机动力系统的渐近稳定性 |
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| 引用本文： | 付苗苗.随机动力系统的渐近稳定性[J].长春师范学院学报,2006(2). |
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| 作者姓名： | 付苗苗 |
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| 作者单位： | 长春师范学院信息技术学院 吉林长春130032 |
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| 摘 要： | Lypunov函数方法(Lyapunov第二方法)最初用于研究自治或非自治微分方程平衡点的稳定性和渐近稳定性,然后从平衡点扩展到集合,从微分方程扩展到动力系统。更深一步的研究随机动力系统下不变随机集合的稳定性、吸引子和渐近稳定性,并给出随机动力系统的Lyapunov函数的定义。
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| 关 键 词： | 稳定性 渐近稳定性 Lyapunov函数 动力系统 随机动力系统 随机不变集合 |
Asymptotically Stability for Random Dynamical Systems |
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| FU Miao-miao.Asymptotically Stability for Random Dynamical Systems[J].Journal of Changchun Teachers College,2006(2). |
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| Authors: | FU Miao-miao |
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| Abstract: | The method of Lyapunov function originally developed the stability of fixed point of an autonomous or non-autonomous differential equations.It was extended from fixed points to sets,from differential equations to dynamical systems.We go one step further to study the stability,attractor and asymptotic stability of random invariant set of RDS,and develope Lyapunov function for RDS. |
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| Keywords: | stability asymptotic stability Lyapunov function dynamical system random dynamical system random invariant set |
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