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

Authors : Oguzer Sinan, Sefa Baydak, Ahmet Duman, Kemal Aydin

Pages : 98-105

Doi:10.33401/fujma.996668

View : 14 | Download : 7

Publication Date : 2022-06-01

Article Type : Research

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