New findings and improvements regarding the robustness of descriptor systems

Authors

  • Samah Nezzar University of Batna 2Mostefa Ben Boula\"id, Fesdis, Batna 05078, Algeria
  • Maissa Kada University of Batna 2 Mostefa Ben Boula\"id, Fesdis, Batna 05078, Algeria
  • Abdelaziz Mennouni University of Batna 2 Mostefa Ben Boula\"id, Fesdis, Batna 05078, Algeria

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.  

 

Downloads

Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Samah Nezzar, Maissa Kada, Abdelaziz Mennouni

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

New findings and improvements regarding the robustness of descriptor systems. (2025). Nonlinear Studies, 32(2), 477-493. https://nonlinearstudies.com/index.php/nonlinear/article/view/3851