Novel stability result of discrete-time systems with time-varying delay

In this paper an analysis is made of stability of discrete-time systems with time-varying delay. First, the improved reciprocally convex combination approach is utilized to bound the forward difference of the double summation and triple summation, respectively. Then a stability criterion expressed in the form of linear matrix inequalities is proposed for the considered system. Finally, a numerical example is given to demonstrate the reduced conservatism and the efficiency of the obtained result.