%0 Journal Article %T Stability analysis for first-order hyperbolic systems with space-time white noise
具时空白噪声1阶双曲系统的稳定性分析 %A DAI Xi-sheng %A DENG Fei-qi %A PENG Yun-jian %A
戴喜生 %A 邓飞其 %A 彭云建 %J 控制理论与应用 %D 2010 %I %X 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. %K first order hyperbolic system %K space-time white noise %K exponential stable %K Fourier transformation
1阶双曲系统 %K 时空白噪声 %K 指数稳定 %K Fourier变换 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=7452D0C2BA126332E8E5F7E60B119A6D&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=B31275AF3241DB2D&sid=DBEE434FCBFED297&eid=A1BB529A18D3A83E&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=6