Browsing by Author "Rapisarda, P."
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Item State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories(SIAM, 2016) Rapisarda, P.; Antoulas, A.C.We solve two problems in modeling polynomial vector-exponential trajectories dependent on two independent variables. In the first one we assume that the data-generating system has no inputs, and we compute a state representation of the most powerful unfalsified model for this data. In the second instance we assume that the data-generating system is controllable and quarter-plane causal, and we compute a Roesser input-state-output model. We provide procedures for solving these identification problems, both based on the factorization of constant matrices directly constructed from the data, from which state trajectories can be computed.