Robust stability and stabilization of time-delay systems via integral quadratic constraint approach

  • M. Fu
  • H. Li
  • S. -I. Niculescu
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 228)


In this chapter, we consider two problems associated with time-delay systems: robust stability analysis and robust stabilization. We first obtain two results for robust stability using the integral quadratic constraint approach and the linear matrix inequality technique. Both results give an estimate of the maximum time-delay which preserves robust stability. The first stability result is simpler to apply while the second one gives a less conservative robust stability condition. We then apply these stability results to solve the associated robust stabilization problem using static state feedback. Our results provide new design procedures involving linear matrix inequalities.


State Feedback Linear Matrix Inequality Robust Stability State Feedback Controller Positive Definite Matrice 
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Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  • M. Fu
    • 1
  • H. Li
    • 2
  • S. -I. Niculescu
    • 3
  1. 1.Dept. Electrical & Computer EngineeringThe University of NewcastleAustralia
  2. 2.Laboratoire d'Automatique de GrenobleENSIEGSaint Martin d'HèresFrance
  3. 3.Laboratoire de Mathématiques AppliquéesEcole Nationale Supérieure de Techniques AvancéesParisFrance

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