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Article Dans Une Revue Proceedings of the Estonian Academy of Sciences Année : 2018

Remarks on realization of time-varying systems

Ülle Kotta
  • Fonction : Auteur
  • PersonId : 862637
Claude H. Moog
Maris Tõnso
  • Fonction : Auteur
  • PersonId : 989459

Résumé

The realization problem of nonlinear time-varying input–output equations is considered. Differentials of the state coordinates, necessary for realization, are determined by the vector space of differential one-forms, spanned over the field of meromorphic functions. Formulas for computing the basis one-forms are given, based on the Euclidean division of non-commutative polynomials. Moreover, it is shown that in the case of a reducible system, the subspace admits a basis with certain structure, explicitly related to reduced input–output equations.

Dates et versions

hal-01629096 , version 1 (06-11-2017)

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Citer

Ülle Kotta, Claude H. Moog, Maris Tõnso. Remarks on realization of time-varying systems. Proceedings of the Estonian Academy of Sciences , In press, 67 (3), pp.207-216. ⟨10.3176/proc.2018.3.02⟩. ⟨hal-01629096⟩
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