NOVEL EXPONENTIAL STABILITY CRITERION OF NONLINEAR SYSTEMS WITH INTERVAL TIME-VARYING DELAYS

Abstract

This paper presents a new result on delay-dependent exponential stability for nonlinear linear systems with interval time-varying delay. By constructing a set of improved Lyapunov-Krasovskii functionals combined with Wirtinger-based integral inequality, a new delay-dependent condition is established in terms of linear matrix inequality (LMI) which guarantees that the system is exponential stability.