Title |
Delay Dependent Stability of Time-delayed Linear Systems using New Structure of L-K Funciton |
DOI |
https://doi.org/10.5370/KIEE.2013.62.2.246 |
Keywords |
Stability ; Time-delay ; Cross terms of variables ; No delay decomposition ; LMI |
Abstract |
In this paper, we consider the stability of linear systems without delay decomposition. A less conservative result obtained without delay decomposition is strongly required since it is a basis to get an improved result by applying simple delay decomposition. Unlike the most popular Lyapunov-Krasovski(L-K) function, we consider the cross terms between variables. Based on this new structure of L-K function, we derive a delay-dependent stability criterion 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. |