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Extended Reciprocal Convex Techniques on Synchronization in Time-Delay Neutral Lur’e Systems

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Abstract

This paper studies the master–slave synchronization in a class of time-delay neutral Lur’e systems. Firstly, an augmented Lyapunov–Krasovskii functional (LKF) is constructed after fully utilizing the restrictions on time-varying delay and nonlinearities. Then, an extended reciprocal convex technique is proposed to estimate the LKF’s derivative, and some less conservative conditions are presented in terms of linear matrix inequalities. Furthermore, our methods can be applied to tackle more general cases such as the systems with different time-delays, delay-partitioning idea, and triple LKF method. Finally, two numerical examples are given to show the effectiveness and benefits of the proposed methods.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (Nos. 61873123, 61873127), Natural Science Foundation of Jiangsu Province (Nos. BK20171419, BK20150888), Natural Science Foundation for Jiangsu’s Universities (No. 15KJB12004), and Fundamental Research Fund for Central Universities (Nos. NS2016030, NJ20160024).

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Authors and Affiliations

  1. School of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, People’s Republic of China

    Tao Li & Xiaoling Tang

  2. School of Instrument Science and Engineering, Southeast University, Nanjing, 210096, People’s Republic of China

    Shaobo Shen

  3. Institute of Intelligence Science and Engineering, Shenzhen Polytechnic College, Shenzhen, 518055, People’s Republic of China

    Zhaowen Xu

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  1. Tao Li
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  2. Shaobo Shen
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  3. Xiaoling Tang
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  4. Zhaowen Xu
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Correspondence to Tao Li.

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Li, T., Shen, S., Tang, X. et al. Extended Reciprocal Convex Techniques on Synchronization in Time-Delay Neutral Lur’e Systems. Circuits Syst Signal Process 38, 1942–1961 (2019). https://doi.org/10.1007/s00034-018-0946-x

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  • DOI: https://doi.org/10.1007/s00034-018-0946-x

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