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Robust H Control for a Class of Uncertain Neutral Stochastic Systems with Mixed Delays: a CCL Approach

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Abstract

In this paper, the problem of robust H control for a class of uncertain neutral stochastic systems with mixed delays is investigated. The parameter uncertainties are assumed to be norm-bounded. A delay-dependent sufficient condition is derived in terms of the nonlinear matrix inequality by constructing proper Lyapunov–Krasovskii functional, using matrix inequality techniques and introducing free weighting matrices. The new result obtained in this paper can be tested numerically by using the so-called cone complementarity linearization (CCL) algorithm. Two examples provided in the literature show the effectiveness of the proposed approach.

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Acknowledgements

This work is supported by the fund Heilongjiang Education Committee under Grant No. 12521429 and the fund of Heilongjiang University Innovation Team Support Plan under Grant No. Hdtd2010–03.

The authors thank the anonymous referees for their helpful comments and suggestions which greatly improved this note.

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Correspondence to Xian Zhang.

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Wang, Y., Zhang, X. & Hu, Y. Robust H Control for a Class of Uncertain Neutral Stochastic Systems with Mixed Delays: a CCL Approach. Circuits Syst Signal Process 32, 631–646 (2013). https://doi.org/10.1007/s00034-012-9485-z

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  • DOI: https://doi.org/10.1007/s00034-012-9485-z

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