| Title |
Asymptotic Stability of Discrete Time Linear Systems with Time Varying Delays |
| Authors |
송성호(Song, Seong-Ho) ; 김점근(Kim, Jeom-Keun) ; 강창익(Kang, Chang-Ik) |
| Keywords |
Time varying delay ; discrete time linear system ; Lyapunov function ; asymptotic stability |
| 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. |