Robust Delay Dependent Stability Analysis of Neutral Systems

  • Salvador A. Rodriguez
  • Jean-Michel Dion
  • Luc Dugard
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 38)


This chapter focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state”, in the delayed “state” and norm bounded time varing quasilinear uncertainties in the difference operator. Two unknown constant delays, in the delayed “stale” and in the difference operator, lead to consider a more general delay-dependent robust stability problem. The analysis is performed via Lyapunov-Krasovskii functional approach. The main difference with respect to 18 is that we obtain sufficient conditions for robust stability given in tenns of the existence of positive dcfinite solutions of LMIs. Thc proposed stability analysis extends some previous results on the subject.


Robust Stability Functional Differential Equation Time Delay System Neutral System Neutral Functional Differential Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Salvador A. Rodriguez
    • 1
  • Jean-Michel Dion
    • 1
  • Luc Dugard
    • 1
  1. 1.Laboratoire d’Automatique de Grenoble (INPG CNRS UJF) ENSIEGSt. Martin d’HèresFrance

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