New Delay-Dependent Stability Criteria for Uncertain Neutral System with Time-Varying Delays and Nonlinear Perturbations

摘要

This study is concerned with the problem of robust stability analysis of uncertain neutral system with time-varying delays and nonlinear perturbations. The parameter uncertainties are modeled as a structured linear fractional form. By choosing an augmented novel Lyapunov-Krasovskii functional which contains some triple integral terms and using the lower bound lemma to handle the integral terms, less conservative criteria are obtained. Moreover, the rigorous constraint that the derivatives of time-varying delays must be less than one has been removed. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results.