Robust exponential stability for LPD discrete-time system with interval time-varying delay

This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent (lpd) discrete-time system with delay. the delay is of an interval type,which means that both lower and upper bounds for the time-varying delay are available. the uncertainty under consideration is norm-bounded uncertainty. based on combination of the linear matrix inequality (lmi) technique and the use of suitable lyapunov-krasovskii functional,new sufficient conditions for the robust exponential stability are obtained in terms of lmi. numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. © 2012 kanit mukdasai.