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Localization of the spectrum and representation of solutions of linear dynamical systems

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Abstract

We develop a general method for the localization of eigenvalues of matrix polynomials and functions based on the solution of matrix equations. For a broad class of equations, we formulate theorems that generalize the known properties of the Lyapunov equation. A new method for the representation of solutions of linear differential and difference systems is proposed.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. G. Mazko

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  1. A. G. Mazko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1341–1351, October, 1998

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Mazko, A.G. Localization of the spectrum and representation of solutions of linear dynamical systems. Ukr Math J 50, 1532–1543 (1998). https://doi.org/10.1007/BF02513501

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  • DOI: https://doi.org/10.1007/BF02513501

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