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Keywords:

  • boundedness;
  • time-delay systems;
  • Lyapunov–Krasovskii functionals

SUMMARY

A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov–Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively. Copyright © 2011 John Wiley & Sons, Ltd.