Displaying similar documents to “Periodic systems largely system equivalent to periodic discrete-time processes”

Balanced reduction of linear periodic systems

Sauro Longhi, Giuseppe Orlando (1999)

Kybernetika

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For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.

Continuous-time periodic systems in H 2 and H ∞ . Part I: Theoretical aspects

Patrizio Colaneri (2000)

Kybernetika

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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 ∞ 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 ∞ are introduced and solved.