Stability Condition for Discrete Interval System with Time-Varying Delay Time

시변 지연시간을 갖는 이산 구간 시스템의 안정조건

Han, Hyung-seok

  • Received : 2015.10.13
  • Accepted : 2015.12.09
  • Published : 2015.12.30


The stability condition of linear discrete interval systems with a time-varying delay time is considered. The considered system has interval system matrices for both non-delayed and delayed states with time-varying delay time within given interval values. The proposed condition is derived by using Lyapunov stability theory and expressed by very simple inequality. Compared to previous results, the stability issue on the interval systems is expanded to time-varying delay. Furthermore, the new condition can imply the existing results on the time-invariant case and show the relation between interval time-varying delay time and stability of the system. The proposed condition can be applied to find the stability bound of the discrete interval system. Some numerical examples are given to show the effectiveness of the new condition and comparisons with the previously reported results are also presented.


Discrete interval system;Time-varying delay time;Sufficient condition;Stability


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