Sensitivity integrals and transformation techniques: A new perspective

Jie Chen

doi:10.1109/9.599991

Sensitivity integrals and transformation techniques: A new perspective

Jie Chen^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

12 Citations (Scopus)

Abstract

In this paper we provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation usesthe well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternative perspective in interpreting these fundamental integral results. © 1997 IEEE.

Original language	English
Pages (from-to)	1037-1042
Journal	IEEE Transactions on Automatic Control
Volume	42
Issue number	7
DOIs	https://doi.org/10.1109/9.599991
Publication status	Published - Jul 1997
Externally published	Yes

Research Keywords

Bode integrals
Laplace and Z transforms
Poisson integrals

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title = "Sensitivity integrals and transformation techniques: A new perspective",

abstract = "In this paper we provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation usesthe well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternative perspective in interpreting these fundamental integral results. {\textcopyright} 1997 IEEE.",

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author = "Jie Chen",

year = "1997",

month = jul,

doi = "10.1109/9.599991",

language = "English",

volume = "42",

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TY - JOUR

T1 - Sensitivity integrals and transformation techniques

T2 - A new perspective

AU - Chen, Jie

PY - 1997/7

Y1 - 1997/7

N2 - In this paper we provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation usesthe well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternative perspective in interpreting these fundamental integral results. © 1997 IEEE.

AB - In this paper we provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation usesthe well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternative perspective in interpreting these fundamental integral results. © 1997 IEEE.

KW - Bode integrals

KW - Laplace and Z transforms

KW - Poisson integrals

UR - https://www.scopus.com/pages/publications/0031190223

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0031190223&origin=recordpage

U2 - 10.1109/9.599991

DO - 10.1109/9.599991

M3 - RGC 21 - Publication in refereed journal

SN - 0018-9286

VL - 42

SP - 1037

EP - 1042

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

Sensitivity integrals and transformation techniques: A new perspective

Abstract

Research Keywords

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