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Xu, S.Y., Lam, J. and Yang, C. (2002) Robust Control for Discrete Singular Systems with State Delay and Parameter Uncertainty. Dynamics of Continuous, Discrete and Impulsive Systems, 9, 539-554.

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.