Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems  

作　　者：Hui Liu Yucai Ding Hui Liu;Yucai Ding(School of Science, Southwest University of Science and Technology, Mianyang, China)

机构地区：[1]School of Science, Southwest University of Science and Technology, Mianyang, China

出　　处：《Applied Mathematics》2016年第10期1124-1133,共10页应用数学（英文）

摘　　要：In 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.In 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.

关 键 词：Differential-Algebraic Systems Stability Analysis Lyapunov-Krasovskii Functional Delay Partitioning Approach Linear Matrix Inequality (LMI) 

分 类 号：O17[理学—数学]