| 具时空白噪声1阶双曲系统的稳定性分析 |
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| 引用本文： | 戴喜生,邓飞其,彭云建.具时空白噪声1阶双曲系统的稳定性分析[J].控制理论与应用,2010,27(6):781-785. |
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| 作者姓名： | 戴喜生 邓飞其 彭云建 |
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| 作者单位： | 华南理工大学,自动化科学与工程学院,广东,广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目(60874114). |
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| 摘 要： | 对具有时空白噪声的1阶双曲系统的稳定性进行了分析. 首先, 利用Fourier变换将系统转化成一般抽象形式的随机演化方程, 然后利用随机分析的方法给出了系统的均方指数稳定和几乎必然指数稳定的充分条件, 最后给出实例说明方法的有效性.
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| 关 键 词： | 1阶双曲系统 时空白噪声 指数稳定 Fourier变换 |
| 收稿时间： | 5/6/2009 12:00:00 AM |
| 修稿时间： | 8/9/2009 12:00:00 AM |
Stability analysis for first-order hyperbolic systems with space-time white noise |
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| DAI Xi-sheng,DENG Fei-qi and PENG Yun-jian.Stability analysis for first-order hyperbolic systems with space-time white noise[J].Control Theory & Applications,2010,27(6):781-785. |
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| Authors: | DAI Xi-sheng DENG Fei-qi and PENG Yun-jian |
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| Affiliation: | College of Automation Science and Technology, South China University of Technology,College of Automation Science and Technology, South China University of Technology,College of Automation Science and Technology, South China University of Technology |
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| Abstract: | The stability of first-order hyperbolic system with space-time white noise is discussed. The system is transformed into an abstract stochastic evolution equation using Fourier transformation; sufficient conditions are given for exponentially stable in mean-square and exponentially stable in almost sure. An example is provided to illustrate our theory. |
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| Keywords: | first order hyperbolic system space-time white noise exponential stable Fourier transformation |
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