Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (1): 97-106.

• Articles • 上一篇    下一篇

SOME PROBLEMS ASSOCIATED WITH THE DISTURBED MATRIX LYAPUNOV EQUATION FOR LINEAR TIME-INVARIANT DISCRETE SYSTEMS

黄琳, 朱伟灵   

  1. Mechanics Department, Peking University
  • 收稿日期:1982-01-21 出版日期:1983-01-18 发布日期:1983-01-18

SOME PROBLEMS ASSOCIATED WITH THE DISTURBED MATRIX LYAPUNOV EQUATION FOR LINEAR TIME-INVARIANT DISCRETE SYSTEMS

Hwang Ling, Zhu Wei-ling   

  1. Mechanics Department, Peking University
  • Received:1982-01-21 Online:1983-01-18 Published:1983-01-18

摘要: Both the Lyapvnov stability and Popov's hypex-stability of discrete linear time-invariant system in case of system parameter disturbance are discussed in this paper. The allowable disturbance ranges are given so that the maintenance of the Lyapunov stability and the Popov's hyperstability of a discrete linear system is guaranteed. The results find their significance in the MRAC.

关键词: biomechanics, soft tissue, mixture theory, creep, mixed method

Abstract: Both the Lyapvnov stability and Popov's hypex-stability of discrete linear time-invariant system in case of system parameter disturbance are discussed in this paper. The allowable disturbance ranges are given so that the maintenance of the Lyapunov stability and the Popov's hyperstability of a discrete linear system is guaranteed. The results find their significance in the MRAC.

Key words: biomechanics, soft tissue, mixture theory, creep, mixed method

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