引用本文:李勇,吴宏鑫.连续时间时变参数系统的指数稳定性和Lp指数稳定性[J].控制理论与应用,1997,14(4):481~488.[点击复制]
LI Yong and WU Hingxin.Exponential Stability and Lp Exponential Stability of Continuous-Time Systems with Time-Varying Parameters*[J].Control Theory and Technology,1997,14(4):481~488.[点击复制]
连续时间时变参数系统的指数稳定性和Lp指数稳定性
Exponential Stability and Lp Exponential Stability of Continuous-Time Systems with Time-Varying Parameters*
摘要点击 1419  全文点击 450  投稿时间：1995-08-23  修订日期：1996-06-26
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DOI编号  
  1997,14(4):481-488
中文关键词  连续时间系统  时变参数  指数稳定性  Lp指数稳定性
英文关键词  continuous-time systems  time-varying parameters  exponential stability  Lp exponential stability
基金项目  
作者单位
李勇,吴宏鑫 中国空间技术研究院北京控制工程研究所 
中文摘要
      本文给出具有慢时变参数的连续时间线性齐次系统指数稳定的一个一般性条件，并给出具有随机时变参数的连续时间线性齐次系统Lp指数稳定的一个充分条件．这些结果可用来分析带有未建模动态，确定性噪声或随机噪声及慢时变参数的自适应控制系统的稳定性问题．
英文摘要
      This paper presents conditions guaranteeing the exponential stability of continuous-time linear homogeneous systems with slowly time-varying parameters and the Lp exponential stability of continuous-time linear homogeneous systems with randomly time-varying parameters. The conditions are motivated by those used in the stability analysis of adaptive control systems with unmodeled dynamics，deterministic or stochastic disturbances as well as time-varying paramters.