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A numerical method for the evaluation of complex integrals

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3 Author(s)
Astrom, K. ; Brown University, Providence, RI, USA ; Jury, E.I. ; Agniel, R.

A numerical method for evaluating the complex integralI = frac{1}{2pij} oint frac{B(z)B(z^{-1})}{A(z)A(z^{-1})} frac{dz}{z}along the unit circle in a positive direction (whereAandBare polynomials with real coefficients), is presented in this paper. The method developed in this paper is shown to be obtainable as a FORTRAN program as well as a table form. The results achieved represent significant reduction of the computations compared to other existing methods.

Published in:

Automatic Control, IEEE Transactions on  (Volume:15 ,  Issue: 4 )

Date of Publication:

Aug 1970

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