Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (5): 709-718.

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THE SMALL DISTURBANCE PROBLEMS ASSOCIATED WITH THE ALGEBRAIC RICCATI EQUATION OF CONTINUOUS LINEAR TIME-INVARIANT SYSTEMS

Hwang Ling, Zhu Wei-ling   

  1. Mechanics Department, Peking University
  • Received:1982-01-21 Online:1982-09-18 Published:1982-09-18

Abstract: The stability problem of the disturbed algebraic Riccati equation of continuous linear time-invariant systems is discussed Ln this paper. Through matrix norm analysis the estimation (expressed in terms of the disturbance range of the system parameters) of the disturbance range in the solution of the disturbed algebraic Riccati equation is established. Apparently this method is quite convenient for the practical computational purposes.

Key words: nasal cavity, olfaction, mathematical model, analytical solution

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