引用本文:胥布工.滞后动态系统广义指数稳定的充要条件[J].控制理论与应用,1999,16(6):802~806.[点击复制]
Xu Bugong.Necessary and Sufficient Conditions of Generalized Exponential Stability for Retarded Dynamic Systems[J].Control Theory and Technology,1999,16(6):802~806.[点击复制]
滞后动态系统广义指数稳定的充要条件
Necessary and Sufficient Conditions of Generalized Exponential Stability for Retarded Dynamic Systems
摘要点击 1110  全文点击 468  投稿时间：1997-08-25  修订日期：1999-01-08
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DOI编号  
  1999,16(6):802-806
中文关键词  滞后动态系统  广义指数稳定性  充要条件
英文关键词  retarded dynamic systems  generalized exponential stability  necessary and sufficient conditions
基金项目  
作者单位
胥布工  
中文摘要
      本文针对一般的滞后动态系统建立了广义指数稳定性的充分和必要条件，并由所建立的充要条件得出了系统过渡过程的时变指数衰减估计，作为所建结果的应用，基于矩阵测度给出了一类滞后动态系统过渡过程的相应指数衰减估计．本文揭示了所建衰减估计可好于那些仅基于充分稳定性条件所得的估计.
英文摘要
      In this paper, the necessary and sufficient conditions of generalized exponential stability for general type of re-tarded dynamic systems are established. The exponential decay estimates on the transient responses for the systems are present-ed. A generalized exponential stability result with respect to a time-varying decay degree for a special class of retarded dynamic systems is also presented based on the matrix measures as the application of the established conditions. It is revealed that the es-tablished estimates can be less conservative than those obtained only by using the sufficient stability conditions in the literature.