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An Improved Absolute Stability Criterion for Time-Delay Lur’e Systems and its Frequency Domain Interpretation

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Abstract

This paper is concerned with absolute stability analysis for time-delay Lur’e systems with both sector- and slope-restricted nonlinearities. A new delay-dependent stability criterion is given by using a Lur’e-Postnikov functional. The additional slope restrictions on the nonlinearities play important roles in improving the absolute stability conditions. Numerical examples are presented to demonstrate the effectiveness of the proposed criterion. Moreover, a frequency domain interpretation for the criterion is presented as well.

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Acknowledgments

This work is supported by the National Science Foundation of China (Grant Nos. 61473245, 61004050), by the Natural Science Foundation for Young Scientist of Hebei Province (Grant No. F2014203099) and by the Independent Research Program for Young Teachers of Yanshan University (Grant No. 13LGA006).

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Authors and Affiliations

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Qing Gao

  2. Key Lab of Industrial Computer Control Engineering of Hebei Province, Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Jiajia Du & Xian Liu

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  1. Qing Gao
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  2. Jiajia Du
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  3. Xian Liu
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Correspondence to Xian Liu.

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Gao, Q., Du, J. & Liu, X. An Improved Absolute Stability Criterion for Time-Delay Lur’e Systems and its Frequency Domain Interpretation. Circuits Syst Signal Process 36, 916–930 (2017). https://doi.org/10.1007/s00034-016-0338-z

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  • DOI: https://doi.org/10.1007/s00034-016-0338-z

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