Article ID Journal Published Year Pages File Type
718863 IFAC Proceedings Volumes 2009 6 Pages PDF
Abstract

In this paper we develop a convex optimization approach to stability analysis of linear systems with interval time-varying delay, by using the standard and the delay-partitioning-based Lyapunov-Krasovskii Functionals (LKFs). We introduce novel LKFs with matrices that depend on the time-delays. These functionals allow the derivation of the condition for stability, which depend on both, the upper and the lower bounds on delay derivatives. A numerical example is given which illustrates the efficiency of the new stability criteria.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics