C. Results from Analytic Function Theory
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.