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September 27, 2025Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information ScienceOpen Access

Novel criteria for attractivity and stability of non-autonomous nonlinear dynamical systems

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Authors

HDHanen DamakNTNizar Hadj TaiebMHMohamed Ali Hammami

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Overview

This research finds new conditions for practical h-stability in non-autonomous systems, suggesting improved analysis methods.

Key Points

  • New sufficient conditions for practical h-stability of non-autonomous nonlinear systems are introduced, improving existing methods.
  • The study presents converse Lyapunov theorems, offering deeper insights into the stability properties of non-autonomous systems.
  • The analysis uses scalar practical h-stable functions to achieve uniform practical stability in perturbed systems.
  • These findings have implications for the dynamic behavior of various engineering and scientific applications, providing robust analytical tools.

Cite This Study

Damak et al. (2025) studied this question.

synapsesocial.com/papers/68d7b3edeebfec0fc5237149https://doi.org/10.59277/pra-ser.a.26.2.04
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  1. 1Stability analysis of non‐linear time‐varying systems by Lyapunov functions with indefinite derivatives2017 · 95 citations