Interval delay partitioning method for the system with time-varying delay

In this paper, an interval delay partitioning method is explored for the system with time-varying delay. By constructing a new Lyapunov-Krasovskii functional, and combining with interval delay partitioning method, less conservative results for the system with interval time-varying delay are derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the advantages of approach.