Parametric Absolute Stabilization for Interconnected L urie Time‐Delay Systems with Polytopic Uncertainty

The paper considers the parametric absolute stabilization for interconnectedLurie time‐delay systems with polytopic uncertainty. The concept of parametric absolute stabilization characterizes both the existence and the stability of equilibrium in the case of uncertain parameters and reference input shift. First, the existing conditions of parametric stability and the stable region are studied by the change of the uncertain parameters and reference input based on decentralized state feedback. Then, a delay‐dependent absolute stability condition in parametric stabilization region for interconnectedLurie time‐delay systems with polytopic uncertainties is obtained through a linear matrix inequality method. Finally, an example is given to illustrate the effectiveness of the proposed method.