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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 5 Issue: 2

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

Oguzer Sinan(Necmettin Erbakan University)0000-0002-8742-5372
Sefa Baydak0000-0002-0337-3342
Ahmet Duman(NECMETTIN ERBAKAN UNIVERSITY, FACULTY OF SCIENCE)0000-0002-4022-5285
Kemal Aydın(SELCUK UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)0000-0001-7822-3384
Pages
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Publication Date
2022-06-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Computations have been done with Maple procedures that run the constituted algorithms.

📌 3 Key Takeaways

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Objective & Hypothesis:The existence of a solution of continuous and discrete-time Lyapunov matrix equations was studied.
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Key Findings & Data:The iterative decreasing dimension method (IDDM) was implemented for solving the generated matrix-vector equation.
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Conclusion & Impact:Computations have been done with Maple procedures that run the constituted algorithms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hurwitz stability · IDDM · Lyapunov matrix equations

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.

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Cite This Article

Sinan, O., Baydak, S., Duman, A., Aydın, K. (2022). Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method. Fundamental Journal of Mathematics and Applications, Volume: 5 Issue: 2. https://doi.org/10.33401/fujma.996668

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