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Eigenfunctions and the solution of sensitivity equations

Eigenfunctions and the solution of sensitivity equations

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© The Institution of Electrical Engineers
Published

An elegant expression for the evaluation of the sensitivity of response of a linear time-invariant multivariable system is obtained. It is of interest that the expression does not involve any of the sensitivity coefficients of the eigenfunctions.

Inspec keywords: automatic control

Subjects: Control theory

References

    1. 1)
      • Reddy, D.C.: `Parameter sensitivity of linear, time-invariant, dynamic systems', Report R-312, 1966.
    2. 2)
      • P.M. de Russo , R.J. Roy , C.H. Close . (1965) , State variables for engineers.
    3. 3)
      • A.I. Kuhtenko , A.G. Shevelev , Radanovic . (1966) On a class of control systems invariant to parameter changes, Sensitivity methods in control theory.
    4. 4)
      • R. Tomovic . (1963) , Sensitivity analysis of dynamic systems.
    5. 5)
      • J.B. Cruz , W.R. Perkins . On invariance and sensitivity. IEEE Internat. Convention Record , 159 - 162
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