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

Year 2022, , 98 - 105, 01.06.2022

Oguzer Sinan , Sefa Baydak , Ahmet Duman , Kemal Aydın

https://doi.org/10.33401/fujma.996668

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.

Keywords

Hurwitz stability, IDDM, Lyapunov matrix equations, Schur stability

Thanks

The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.

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