Robust stability analysis for uncertain continuous systems with two time-varying delay components

This paper presents a new result of stability analysis for uncertain continuous systems. The continuous systems are based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. A less conservative stability criterion is established for systems with two successive delay components and parameter uncertainties, by constructing a new Lyapunov-Krasovskii functional and introducing some free weighting matrices. A numerical example shows that the proposed criterion is effective and is an improvement over some existing results in the literature.