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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (12): 1175-1181.

• 论文 • 上一篇    下一篇

SOME PROBLEMS OF SECOND METHOD OF LYAPUNOV. IN DISCRETE SYSTEMS

李中, 黄琳   

  • 收稿日期:1987-08-01 出版日期:1988-12-18 发布日期:1988-12-18
  • 基金资助:

    Supported by the National Natural Science Foundation of China

SOME PROBLEMS OF SECOND METHOD OF LYAPUNOV. IN DISCRETE SYSTEMS

Li Zhong, Huang Lin   

  1. Department of Mechanics, Peking University, Beijing
  • Received:1987-08-01 Online:1988-12-18 Published:1988-12-18
  • Supported by:

    Supported by the National Natural Science Foundation of China

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摘要： The geometric properties of the solution set of Lyapunov equation of linear time-invariant discrete system are discussed. Furthermore,the stabitility of piecewise linear discrete systems is studied and some sufficient conditions are obtained for the asymptotical stability of piecewise linear discrete systems in which each sub-system is stable. The results are applied to second order piecewise linear systems.

Abstract: The geometric properties of the solution set of Lyapunov equation of linear time-invariant discrete system are discussed. Furthermore,the stabitility of piecewise linear discrete systems is studied and some sufficient conditions are obtained for the asymptotical stability of piecewise linear discrete systems in which each sub-system is stable. The results are applied to second order piecewise linear systems.

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