Delay-dependent criteria for robust stability of linear neutral systems with time-varying delay and nonlinear perturbations

Abstract

This article investigates the robust stability of linear neutral systems with time-varying delay and nonlinear perturbations. Using a new Lyapunov–Krasovskii functional and employing some free weighting matrices, less conservative delay-dependent robust stability conditions for such systems in terms of linear matrix inequalities are derived. Numerical examples are given to indicate significant improvements over some existing results.

Keywords:

• Neutral systems
• Delay
• Robust stability
• LMIs

Acknowledgement

The author would like to thank the editors and the anonymous reviewers for their constructive comments and suggestions to improve the quality of the article.