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Delay-range-dependent stability criteria for delayed discrete-time Lur’e system with sector-bounded nonlinearities

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Abstract

This paper is devoted to the absolute and robust stability for uncertain discrete-time Lur’e systems with interval time-varying delays and sector-bounded nonlinearities. Both the cases with time-invariant and time-varying nonlinearities are considered. By dividing the variation interval of the time delays into some subintervals, some new delay-range-dependent robust stability criteria are derived in the form of linear matrix inequalities (LMIs) via a modified Lyapunov-Krasovskii functional (LKF) approach. The criteria are less conservative than some existing results. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.

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Acknowledgments

This work is supported by NSF of P. R. China under Grant No. 61104064 and the Fundamental Research Funds for the Central Universities No. 30920140112005

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  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, China

    Wenyong Duan & Chenxiao Cai

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  1. Wenyong Duan
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  2. Chenxiao Cai
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Correspondence to Wenyong Duan.

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Duan, W., Cai, C. Delay-range-dependent stability criteria for delayed discrete-time Lur’e system with sector-bounded nonlinearities. Nonlinear Dyn 78, 135–145 (2014). https://doi.org/10.1007/s11071-014-1427-9

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  • DOI: https://doi.org/10.1007/s11071-014-1427-9

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