Kybernetika 45 no. 5, 825-840, 2009

On Delay-Dependent Robust Stability Under Model Transformation of Some Neutral Systems

Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion and Jesús De León

Abstract:

This paper 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" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability are given in terms of the existence of positive definite solutions of LMIs.

Keywords:

stability, time-delay systems, neutral system

Classification:

93D09, 34K20