Article citationsMore>>

Lin, C., Wang, Q.G. and Lee, T.H. (2005) Robust Normalization and Stabilization of Uncertain Descriptor Systems with Norm-Bounded Perturbations. IEEE Transactions on Automatic Control, 50, 515-520.
http://dx.doi.org/10.1109/TAC.2005.844908

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.