Wirtinger inequality based absolute stability of Lurie singular system with time-delay

Abstract

In this paper, the problem of absolute stability of Lurie singular system with time-delay has been investigated. The proposed technique involves partitioning the delay range into an integer number of segments. A novel Lyapunov-Krasovskii functional (LKF) is defined to develop the stability criterion in terms of linear matrix inequalities (LMIs). By employing Wirtinger inequality, a tighter bounding technique for integral terms arising in the derivative of LKF is developed. The proposed result ensures that the singular system is regular, impulse free and stable. Further, it is shown with the help of numerical examples that the proposed result is less conservative as compared to other recently reported results.