Abstract

In this paper, a class of uncertain linear polytopic systems with mixed delays in state and control is studied. Using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for the robust stabilization of the system are first established in terms of the Mondi´e-Kharitonov type’s linear matrix inequality (LMI) conditions. A numerical example is presented to demonstrate that the feedback control designed based on the obtained condition is effective, even though neither nominal control systems are controllable.