Stability analysis of systems with two additive time-varying delay components via convex polyhedron method.

This paper was concerned with stability analysis for systems. The systems were based on a new time-delay model proposed recently, which contained two successive delay components in the state. By using a convex polyhedron method, employing some integral inequality approach and constructing a new Lyapunov functional, some less conservative stability criteria were established in terms of linear matrix inequalities (LMIs). Due to the convex polyhedron method, a significant source of conservativeness that could be further reduced lies in the calculation of the time-derivative of the Lyapunov functional. Numerical example shows that the proposed criterion is effective and an improvement over some existing results in the literature. [ABSTRACT FROM AUTHOR]