Absolute stability analysis of neutral type Lurie system with unbounded distributed delay and interval time-varying probabilistic delay

In this paper, a novel stability criterion for the absolute stability of neutral type Lurie system with unbounded distributed and interval time-varying delay is proposed. The delay range is divided into two segments for stability analysis. The probability distribution of interval time-varying delay in the two segments is assumed to be known a priori. A tighter bounding technique is developed for the integral terms arising in the derivative of Lyapunov-Krasovskii functional (LKF). This bounding technique along with the Wirtinger inequality is used to develop the absolute stability criteria in terms of linear matrix inequalities. The proposed stability analysis has been further extended to the robust absolute stability of uncertain Lurie system of neutral type with mixed delays. The effectiveness of the proposed approach has been illustrated through numerical examples.