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Xu, S.Y., Van Dooren, P., Stefan, R. and Lam, J. (2002) Robust Stability and Stabilization for Singular Systems with State Delay and Parameter Uncertainty. IEEE Transactions on Automatic Control, 47, 1122-1228.
http://dx.doi.org/10.1109/TAC.2002.800651

has been cited by the following article:

• 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.