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Algebraic relations between system response and system parameters for linear time-invariant systems

Algebraic relations between system response and system parameters for linear time-invariant systems

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By means of a rational-fraction approximation to the delay function, and through use of a generalised technique for evaluating convolution integrals, it is possible to approximately evaluate the inverse Laplace transform. The time-domain response is approximated by a ratio of polynomials in t, with coefficients which are algebraic functions of the system parameters.

References

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      • Cutteridge, O.P.D.: `Approximate transient response calculation using some special sets of polynomials', Proceedings of the first international conference of the IFAC, 1960, Moscow, 1, p. 55–61.
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      • M.L. Liou . A novel method of evaluating transient response. Proc. Inst. Elect. Electronics Engrs. , 20 - 23
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      • A. Talbot . The evaluation of integrals of products of linear system responses. Quart. J. Mech. Appl. Math. , 488 - 520
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      • G. Gonzalez . Delay approximations for correlation measurements using analog computers. IEEE Trans. , 606 - 617
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