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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Submitted on : Monday, November 6, 2017 - 9:16:58 AM
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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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