Kybernetika 35 no. 6, 737-751, 1999

Balanced reduction of linear periodic systems

Sauro Longhi and Giuseppe Orlando


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.