| Title |
Stability of Linear Systems with Interval Time-varying Delay via New Interval Decomposition |
| DOI |
https://doi.org/10.5370/KIEE.2011.60.9.1748 |
| Keywords |
Stability ; Interval time-delay ; General decomposition ; Lyapunov-Krasovskii ; LMI |
| Abstract |
In this paper, we consider the stability of linear systems with an interval time-varying delay. It is known that the adoption of decomposition of delay improves the stability result. For the interval time-delay case, they applied it to the interval of time-delay and got less conservative results. Our basic idea is to apply the general decomposition to the low limit of delay as well as interval of time-delay. Based on this idea, by using the modified Lyapunov-Krasovskii functional and newly derived Lemma, we present a less conservative stability criterion expressed as in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results. |