New results on absolute stability of lur’e systems with time-varying delay

This paper considers the problem of the absolute stability of lurpsilae systems with time-varying delay and sector-bounded nonlinearity. By using the Lyapunov functional method, and by resorting to new technique to estimate the upper bound of the derivative of Lyapunov functional, the new less conservative absolute stability criteria are obtained in linear matrix inequalities (LMIs). Numerical example is presented to show the effectiveness and the less conservativeness of the proposed method.