Kybernetika

In this paper we study the balancing and model-reduction of linear systems with discrete jumps at periodic time instants. These systems arise in the study of linear systems with sampled data control and filtering problems. We study the balancing for the case of fixed and infinite intervals. We show that the system balancing can be used to obtain a reduced order-model of the system with the properties of the original system. An example is provided to illustrate the procedure.