Sensitivity integrals and transformation techniques : A new perspective

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1037-1042
Journal / PublicationIEEE Transactions on Automatic Control
Volume42
Issue number7
Publication statusPublished - 1997
Externally publishedYes

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.

Research Area(s)

  • Bode integrals, Laplace and Z transforms, Poisson integrals