Asymptotic Stability of Discrete-Time Linear Systems with Time Varying Delays

시변시간지연을 갖는 이산시간 선형시스템의 점근안정도

  • Published : 1998.07.20

Abstract

This paper deals with the stability of discrete time linear systems with time - varying delays in state. In this paper, the magnitude of time - varying delays is assumed to be upper-bounded. The stability of discrete time linear systems with time - varying delays in state is related with the stability of discrete time linear systems with constant time delay in state. To show this, a new Lyapunov function is proposed. Using this Lyapunov function, a sufficient condition for the asymptotic stability is derived.

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