Citation:
Nezzar S, Kada M, MENNOUNI ABDELAZIZ. New findings and improvements regarding the robustness of descriptor systems. Nonlinear Studies (NS) [Internet]. 2025;32 (2).
Abstract:
This study defines and analyzes the stability radii of stochastic descriptor systems. We utilize generalized Lyapunov
techniques to establish necessary and sufficient conditions for exponential stability. Additionally, the paper aims
to explore robust stability by characterizing the stability radius through generalized Lyapunov equations. To the best of our knowledge, this research is the first to investigate robust stability using the infinite-dimensional
generalized Lyapunov equation.