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

Year 2022, Volume: 5 Issue: 2, 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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