The c-Entropy optimality of Donoghue classes

Abstract

In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. Explicit formulas relating the c-Entropy of the L-systems and the perturbation parameter are established. We also show that c-Entropy attains its maximum value (finite or infinite) whenever the perturbation parameter vanishes so that the impedance function of such a L-system belongs to one of the generalized (or regular) Donoghue classes.

25 pages, 7 figures, 2 tables. arXiv admin note: text overlap with arXiv:1806.06329