TITLE:
Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems
AUTHORS:
Hui Liu, Yucai Ding
KEYWORDS:
Differential-Algebraic Systems, Stability Analysis, Lyapunov-Krasovskii Functional, Delay Partitioning Approach, Linear Matrix Inequality (LMI)
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.10,
June
24,
2016
ABSTRACT: 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.