Asymptotic Stability of Discrete Time Linear Systems with Time Varying Delays

시변시간지연을 갖는 이산시간 선형시스템의 점근안정도

  • 송성호 (한림대학교 전자공학과) ;
  • 김점근 (한림대학교 전자공학과) ;
  • 강창익 (청주대학교 해양계측공학과)
  • Published : 1999.05.01

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-bouded. 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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