Localization of the spectrum and representation of solutions of linear dynamical systems |
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| Authors: | A. G. Mazko |
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| Affiliation: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1341–1351, October, 1998 |
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