Stability bound analysis of singularly perturbed systems with time-delay

Abstract

This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.

Keywords

• singularly perturbed systems
• stability bound
• linear matrix inequality
• Lyapunov-Krasovskii functional