New delay-dependent stability and stabilization of delayed systems with sector-bounded nonlinearity

In this paper, we consider the problems of robust stability and stabilization of Lur’e control systems with time-varying delay. Firstly, by making use of an integral inequality, some delay-dependent robust stability conditions of the system are presented. Then, a sufficient stabilization criterion is established in the terms of linear matrix inequality (LMI), based on the above stability condition and matrix decomposition technique. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.