Liu, HuiDing, Yucai2016-07-212016-07-212016-06http://dx.doi.org/10.4236/am.2016.710100http://hdl.handle.net/123456789/881In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its time-derivative dependent stable criteria are obtained and formulated in the form of simple linear matrix inequalities (LMIs). The obtained criteria are dependent on the sizes of delay and its time-derivative and are less conservative than those produced by previous approaches.enDifferential-Algebraic SystemsStability AnalysisLyapunov-Krasovskii FunctionalDelay Partitioning ApproachLinear Matrix Inequality (LMI)Article