$H_2$-optimization of sampled-data systems with a linear periodic plant. I. Parametric transfer matrix and its properties

This paper suggests a solution procedure of the $H_2$-optimization problem for a sampled-data system with a periodic continuous plant and a sampled-data element whose sampling period coincides with the period of the plant. The procedure employs the concept of the parametric transfer matrix and the Wiener-Hopf method based on factorization and separation of rational matrices.

Presented by the member of Editorial Board: A. A. Bobtsov