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

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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

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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