On the numerical verification of a counterexample on parameter-dependent Lyapunov functions

B Aksoy, T Büyükköroğlu, V Dzhafarov - Applied Mathematics and …, 2025 - Elsevier
We consider the existence problem of an affine parameter-dependent quadratic Lyapunov
function for a robust Hurwitz stable matrix segment. Numerical verification of the known …

Common Solutions to Stein Inequalities

Ş Yılmaz, B Aksoy - Sakarya University Journal of Science, 2023 - dergipark.org.tr
In this paper for linear discrete time switched systems, the problem of existence of a common
solution to Stein inequalities is considered. A sufficient condition for robust Schur stability of …

[PDF][PDF] ON EXISTENCE OF AFFINE PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS

T GLU, BUL AKSOY, V DZHAFAROV - cot.mathres.org
In this paper, we consider the problem of existence of an affine parameter-dependent
quadratic Lyapunov functions for a matrix segment. It is assumed that this segment is …