IEEE Transactions on Automatic Control, Vol.42, No.7, 1037-1042, 1997
Sensitivity Integrals and Transformation Techniques - A New Perspective
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 uses the 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.