A New Delay-Dependent Stability Criterion for Linear System With Two Time-Invariant Delays

Abstract

In this technical communication, a new delay-dependent stability criterion for a class of linear system with two time-invariant delays has been proposed using the classical Lyapunov-Krasovskii functional method. In the proposed delay-dependent stability analysis, a new Lyapunov-Krasovskii (LK) functional is considered, and the time-derivative of the functional is bounded using Wirtinger inequality. The stability analysis, subsequently, yields a less conservative stability criterion in linear matrix inequality (LMI) framework. The effectiveness of the proposed stability criterion vis-á-vis an existing result is validated using a standard numerical example and supplemented with appropriate simulation results.