数学季刊 ›› 1995, Vol. 10 ›› Issue (2): 94-105.

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On the Construction of Globally Asymptotically Stable Liapunov Functions of a Type of Third-order Systems with Nonseparable Variables

  

  1. College   of  Engineering   Yanbian    University)(Information    Engineering   Institute    of   PLA; (College  of Economic  and  Management  of  Shanxi


  • 收稿日期:1994-01-08 出版日期:1995-06-30 发布日期:2025-03-25

On the Construction of Globally Asymptotically Stable Liapunov Functions of a Type of Third-order Systems with Nonseparable Variables

  1. College   of  Engineering   Yanbian    University)(Information    Engineering   Institute    of   PLA; (College  of Economic  and  Management  of  Shanxi
  • Received:1994-01-08 Online:1995-06-30 Published:2025-03-25

摘要:  In the paper,we discuss the global asymptotic stability of a type of nonlinear third-order systems with nonseparable variables by using method of Liapunov functions. By means of the analogism and the improved Barbashin-Krasovskii theorem,we give some sufficient conditions which have not been reported.

关键词:  , system, global asymptotic stability, Liapunov function

Abstract:  In the paper,we discuss the global asymptotic stability of a type of nonlinear third-order systems with nonseparable variables by using method of Liapunov functions. By means of the analogism and the improved Barbashin-Krasovskii theorem,we give some sufficient conditions which have not been reported.

Key words:  , system, global asymptotic stability, Liapunov function

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