State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories

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2016
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SIAM
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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.

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Rapisarda, P. and Antoulas, A.C.. "State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories." SIAM Journal on Control and Optimization, 54, no. 5 (2016) SIAM: 2734-2753. http://dx.doi.org/10.1137/15M1031837.

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