Continuous-time periodic systems in $H_2$ and $H_\infty$. Part I: Theoretical aspects

Colaneri, Patrizio

Kybernetika, Tome 36 (2000) no. 2, pp. 211-242

Abstract (VO)

The paper is divided in two parts. In the first part a deep investigation is made on some system theoretical aspects of periodic systems and control, including the notions of $H_2$ and $H_\infty $ norms, the parametrization of stabilizing controllers, and the existence of periodic solutions to Riccati differential equations and/or inequalities. All these aspects are useful in the second part, where some parametrization and control problems in $H_2$ and $H_\infty $ are introduced and solved.

Détail

Classification : 34H05, 49N20, 93B36, 93C15
Keywords: periodic system; Riccati differential equation

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