Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay

Jian-Ning Li, Hongye Su, Zheng-Guang Wu and Jian Chu

International Journal of Systems Science, 2013, vol. 44, issue 3, 432-441

Abstract: The problem of robust stabilisation for uncertain discrete singular systems with time-varying delay is discussed in this article. First, a new delay-distribution-dependent Lyapunov function is established. Then, sufficient conditions are proposed for guaranteeing that the uncertain discrete singular system with time-varying delay has the properties of regularity, causality and stability. Finally, a suitable robust state feedback controller is designed by linear matrix inequality. Numerical examples illustrate that the results derived from the proposed method are less conservative than the existing ones.

Date: 2013
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DOI: 10.1080/00207721.2011.601350

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