<p>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.</p>

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Partial Stability Criteria for Time-Varying Nonlinear Systems

  • Abdelfettah Hamzaoui,
  • Nizar Hadj Taieb

摘要

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.