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Finite-Time Synchronization of Complex-Valued Neural Networks with Multiple Time-Varying Delays and Infinite Distributed Delays

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Abstract

This paper investigates finite-time synchronization of complexed-valued neural networks with multiple time-varying delays and infinite distributed delays. By separating the complex-valued neural networks into the real and the imaginary parts, the corresponding equivalent real-valued systems are obtained. Some sufficient conditions are derived for finite-time synchronization of the drive-response system based on the new Lyapunov–Krasovskii function and the new analysis techniques. Numerical examples demonstrate the effectiveness of the theoretical results.

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Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (Grant No. 61403050), the science and technology commission project of Chongqing (cstc2017jcyjA1082, cstc2018jcyjAX0810), the Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJ1501412, KJ1601401, KJ1601410), and the Foundation of CQUE (KY201702A,KY201720B).

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Authors and Affiliations

  1. School of Mathematical Science, Nankai University, Tianjin, 300071, China

    Yanjun Liu

  2. Key Laboratory of Machine Perception and Childrens Intelligence Development, Chongqing University of Education, Chongqing, 400067, China

    Yanjun Liu, Yu Qin, Junjian Huang & Xinbo Yang

  3. Texas A&M University at Qatar, Doha, 5825, Qatar

    Tingwen Huang

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  1. Yanjun Liu
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  2. Yu Qin
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  3. Junjian Huang
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  4. Tingwen Huang
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  5. Xinbo Yang
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Correspondence to Junjian Huang.

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Liu, Y., Qin, Y., Huang, J. et al. Finite-Time Synchronization of Complex-Valued Neural Networks with Multiple Time-Varying Delays and Infinite Distributed Delays. Neural Process Lett 50, 1773–1787 (2019). https://doi.org/10.1007/s11063-018-9958-6

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