Stability criteria of multiple time-varying delays system with polytopic-type uncertainties
多胞不确定型多时变时滞系统的稳定性

The cross-product terms in the derivative of Lyapunov-Krasovskii functional are disposed by using the integral-equality approach, and the state-derivative term is reserved by employing Newton-Leibnitz formula and freeweighting matrix. System matrices and Lyapunov matrices in the stability condition of nominal system are separated; thus, robust stability criteria for polytopic-type uncertainties system are obtained easily. Finally, numerical example is given to demonstrate the effectiveness of the proposed method.