Browsing by Author "Ding, Yucai"

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    Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems
    (Scientific Research Publishing, 2016-06) Liu, Hui; Ding, Yucai
    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.