Comment on homographic transformation for the simplification of continuous-time transfer functions by Padé approximation

T. Nigel Lucas

doi:10.1080/00207178408933175

Comment on homographic transformation for the simplification of continuous-time transfer functions by Padé approximation

T. Nigel Lucas

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that the homographic transformation method for reducing the order of linear, time-invariant systems produces the same models as the ordinary Pad approximation method about 8 = 0, contrary to what was previously thought. An example is given to demonstrate the equivalence of the methods.

Original language	English
Pages (from-to)	417-419
Number of pages	3
Journal	International Journal of Control
Volume	39
Issue number	2
DOIs	https://doi.org/10.1080/00207178408933175
Publication status	Published - 1984

Keywords

Transfer functions

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10.1080/00207178408933175

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title = "Comment on homographic transformation for the simplification of continuous-time transfer functions by Pad{\'e} approximation",

abstract = "It is shown that the homographic transformation method for reducing the order of linear, time-invariant systems produces the same models as the ordinary Pad approximation method about 8 = 0, contrary to what was previously thought. An example is given to demonstrate the equivalence of the methods.",

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AU - Lucas, T. Nigel

PY - 1984

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AB - It is shown that the homographic transformation method for reducing the order of linear, time-invariant systems produces the same models as the ordinary Pad approximation method about 8 = 0, contrary to what was previously thought. An example is given to demonstrate the equivalence of the methods.

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DO - 10.1080/00207178408933175

M3 - Article

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VL - 39

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EP - 419

JO - International Journal of Control

JF - International Journal of Control

IS - 2

ER -

Comment on homographic transformation for the simplification of continuous-time transfer functions by Padé approximation

Abstract

Keywords

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