数学季刊 ›› 1993, Vol. 8 ›› Issue (3): 45-49.

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Distance-Stability of Nonlinear Discrete Systems

  

  1. Department of Information.Henan University of Finance and Economics,Department of Information.Henan University of Finance and Economics Zhengzhou 450002,Zhengzhou 450002

  • 收稿日期:1991-08-27 出版日期:1993-09-30 发布日期:2025-05-29
  • 基金资助:
     The project is supported by Henan Province Natural Science Fund

Distance-Stability of Nonlinear Discrete Systems

  1. Department of Information.Henan University of Finance and Economics,Department of Information.Henan University of Finance and Economics Zhengzhou 450002,Zhengzhou 450002
  • Received:1991-08-27 Online:1993-09-30 Published:2025-05-29
  • Supported by:
     The project is supported by Henan Province Natural Science Fund

摘要: In this paper,the distance-sability of nonlinear discrete system is investigated by meansof the Gauss-Seidel iteration method.Some algebric criteria of the distance-stability are ob-tained.Construction of Lyapunov function is avoided.

关键词: nonlinear, discrete systems, distance-stability, Gauss-Seidel iteration method

Abstract:  In this paper,the distance-sability of nonlinear dscrete system is investigated by neans of the Gauss-Seidel iteraton method.Some algebric critera of the distance-stability are obtained.Construction of Lyapunov function is avoided.


Key words: nonlinear, discrete systems, distance-stability, Gauss-Seidel iteration method