3 papers
math.DS2025
Integrating the enveloping technique with the expansion strategy to establish stability
Ziyad AlSharawi, Jose S. Cánovas
In this paper, we focus on finding one-dimensional maps that detect global stability in multidimensional maps. We consider various local and global stability techniques in discrete…
math.DS2025
Increasing delay as a strategy to prove stability
Ziyad AlSharawi, Jose S. Cánovas
We consider difference equations of the form and increase the delay through a process of successive substitutions to obtain a sequence of syste…
math.DS2025
Constrained polynomial roots and a modulated approach to Schur stability
Ziyad AlSharawi, Jose S. Cánovas, Sadok Kallel
It is common in stability analysis to linearize a system and investigate the spectrum of the Jacobian matrix. This approach faces the challenge of determining the matrix spectrum w…