You are here : Control System Design  Index  Book Contents  Appendix C  Section C.8 C. Results from Analytic Function TheoryC.8 Poisson and Jensen Integral FormulasWe will next apply the Cauchy Integral formula to develop two related results. The first result deals with functions that are analytic in the righthalf plane (RHP). This is relevant to sensitivity functions in continuoustime systems, where Laplace transforms are used. The second result deals with functions that are analytic outside the unit disk. This will be a preliminary step to analyzing sensitivity functions in discrete time, on the basis of Ztransforms.
