Remarks on realization of time-varying systems

Abstract : 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.
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Proceedings of the Estonian Academy of Sciences , Estonian Academy Publishers, In press, 67 (3), pp.207-216. 〈http://www.eap.ee/public/proceedings_pdf/2018/issue_3/proc-2018-3-207-216.pdf〉. 〈10.3176/proc.2018.3.02〉
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https://hal.archives-ouvertes.fr/hal-01629096
Contributeur : Claude Moog <>
Soumis le : lundi 6 novembre 2017 - 09:16:58
Dernière modification le : mardi 19 juin 2018 - 16:46:12

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Ülle Kotta, Claude H. Moog, Maris Tõnso. Remarks on realization of time-varying systems. Proceedings of the Estonian Academy of Sciences , Estonian Academy Publishers, In press, 67 (3), pp.207-216. 〈http://www.eap.ee/public/proceedings_pdf/2018/issue_3/proc-2018-3-207-216.pdf〉. 〈10.3176/proc.2018.3.02〉. 〈hal-01629096〉

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