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Delay-independent stability of linear neutral systems: A riccati equation approach

  • Erik I. Verriest
  • Silviu-Iulian Niculescu
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 228)

Abstract

This chapter focuses on the problem of asymptotic stability of a class of linear neutral systems described by differential equations with delayed state. The delay is assumed unknown, but constant. Sufficient conditions for delay-independent asymptotic stability are given in terms of the existence of symmetric and positive definite solutions of a continuous Riccati algebraic matrix equation coupled with a discrete Lyapunov equation.

Keywords

Linear Matrix Inequality Riccati Equation Functional Differential Equation Neutral System Neutral Type 
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Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  • Erik I. Verriest
    • 1
  • Silviu-Iulian Niculescu
    • 2
  1. 1.School of Electrical and Computer EngineeringGeorgia Institute of TechnologyAtlantaUSA
  2. 2.Laboratoire de Mathématiques AppliquéesEcole Nationale Supérieure de Techniques AvancéesParisFrance

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