Yong-Yun Shao, Xiao-Dong Liu, Xin Sun and Zhan Su. A New Admissibility Condition of Discrete-time Singular Systems with Time-varying Delays. International Journal of Automation and Computing, vol. 9, no. 5, pp. 480-486, 2012. DOI: 10.1007/s11633-012-0670-0
Citation: Yong-Yun Shao, Xiao-Dong Liu, Xin Sun and Zhan Su. A New Admissibility Condition of Discrete-time Singular Systems with Time-varying Delays. International Journal of Automation and Computing, vol. 9, no. 5, pp. 480-486, 2012. DOI: 10.1007/s11633-012-0670-0

A New Admissibility Condition of Discrete-time Singular Systems with Time-varying Delays

  • This paper gives a novel delay-dependent admissibility condition of discrete-time singular systems with time-varying delays. For convenience, the time-varying delay is assumed to be the sum of delay lower bound and the integral multiples of a constant delay. Specially, if the constant delay is of unit length, the delay is an interval-like time-varying delay. The proposed admissibility condition is presented and expressed in terms of linear matrix inequality (LMI) by Lyapunov approach. Generally, the uncertainty of time-varying delay would lead to conservatism. In this paper, this critical issue is tackled by accurately estimating the time-varying delay. Consequently, the proposed admissibility condition is less conservative than the existing results, which is demonstrated by a numerical example.
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