Zwart, Hans A note on applications of interpolation theory to control problems of infinite-dimensional systems. (English) Zbl 0846.93053 Appl. Math. Comput. Sci. 6, No. 1, 5-14 (1996). We shall give two examples of how interpolation theory plays an important role in control theory. The first one is proving the necessary and sufficient conditions for admissibility of a one-dimensional input vector for a diagonal semigroup. The other problem is showing lack of optimizability for the well-known Zabczyk example (Zabczyk, 1975). Reviewer: A.V.Balakrishnan (Los Angeles) Cited in 1 Document MSC: 93C25 Control/observation systems in abstract spaces Keywords:interpolation theory; admissibility PDFBibTeX XMLCite \textit{H. Zwart}, Appl. Math. Comput. Sci. 6, No. 1, 5--14 (1996; Zbl 0846.93053)