You are here : Control System Design - Index | Book Contents | Appendix C | Section C.8

C. Results from Analytic Function Theory

C.8 Poisson and Jensen Integral Formulas

We will next apply the Cauchy Integral formula to develop two related results.

The first result deals with functions that are analytic in the right-half plane (RHP). This is relevant to sensitivity functions in continuous-time 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 Z-transforms.