Stability conditions of discrite-time systems with a time-varying delay

Abstract

This paper gives some stability conditions of discrite-time systems with a time-varying delay. The time-varying delay has a discrite conver belt model. We discuss about stability using three Lyapunov functions, that is, i) normal qudratic form, ii) quadratic form including past state, iii) quadratic form for an expanded system. The last approach is based on quadratic stability method for discrite time-varying systems.