Partial Stability Criteria for Time-Varying Nonlinear Systems

• Abdelfettah Hamzaoui ^[1] ; Nizar Hadj Taieb ^[1]
  1. [1] University of Sfax

     University of Sfax

     Túnez

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 5, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper investigates the global uniform practical asymptotic and exponential partial stability of a broad class of time-varying systems using practical scalar Lyapunov functions. A novel converse Lyapunov theorem is established, offering sufficient conditions to guarantee global uniform practical asymptotic and exponential partial stability for a class of perturbed systems. Several illustrative examples are included to demonstrate the applicability of the proposed results.

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