Absolute Stability of Uncertain Lurie Indirect Control Systems with Multiple Time-varying Delays

Abstract

The absolute stability of uncertain Lurie indirect control systems with multiple time-varying delays is investigated. Time delays are bounded, and derivatives of time-varying delays are less than one. Moreover, all admissible time-varying parametric uncertainties are norm bounded. Then some new sufficient conditions are obtained in terms of Lyapunov-Krasovskii functional together with matrix inequalitiy techniques. In the end, two numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed method.