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Equivalence, invariance and dynamical system canonical modelling. II: Invariant properties of reachable models and associated transformations. (English) Zbl 0699.93006
Summary: The second part of this paper [for part I see the author, ibid., No.4, 233-257 (1989; Zbl 0691.93006)] considers two different classes of models for linear reachable multivariable systems: state-space models and polynomial input - partial state - output models. Equivalence relations that do not affect the input-output behavior of the considered models are then introduced, as well as associated sets of canonical forms directly parametrized by the image of all the models belonging to the same equivalence class in a complete set of independent invariants for the considered equivalence relations. Results regarding systems that are both completely reachable and completely observable are then considered.

MSC:
93B10 Canonical structure
93B15 Realizations from input-output data
93C35 Multivariable systems, multidimensional control systems
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