A new result on delay-dependent robust stabilization for uncertain systems with time-delay

The problem of delay-dependent robust stabilization for uncertain system with time-delay is considered. A Lyapunov-Krasovskii functional is designed by splitting the whole time-delay interval into some subintervals and defining different energy functions in every subinterval. Combining with linear matrix inequalities (LMI) technique, a delay-dependent stability criterion is derived in terms of LMI to ensure that the nominal system is stable. Based on the criterion, the problem is solved via state feedback controller, guaranteeing the resultant closed-loop system is robustly stable. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.