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Dergiler / Fundamental journal of mathematics and applications (Online) / 2022 / Cilt: 5 - Sayı: 2

Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method

Oğuzer SİNAN, Kemal AYDIN, Sefa BAYDAK, Ahmet DUMAN

Sayfa
98–105
DOI
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Abstract

The existence of a solution of continuous and discrete-time Lyapunov matrix equations was studied. Both Lyapunov matrix equations are transformed into a matrix-vector equation and the solution of the obtained new system was examined. The iterative decreasing dimension method (IDDM) was implemented for solving the generated matrix-vector equation. Computations have been done with Maple procedures that run the constituted algorithms.