Delay-dependent absolute stability criteria for uncertain Lur´e singular systems with time-varying delay

The problem of absolute stability for Lur´e singular systems with time-varying delay is presented. Two cases of time-varying delays - one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative of the delay bounded by a constant are considered. Based on a new integral inequality, which avoids employing both model transformation and bounding technique for cross terms, some delay-dependent absolute stability criteria are obtained and formulated in the form of linear matrix inequalities. Numerical examples are also given to show the effectiveness of the obtained results.