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Z-Type Model for Real-Time Solution of Complex ZLE

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Advances in Neural Networks – ISNN 2014 (ISNN 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8866))

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Abstract

A Z-type model for real-time solution of complex ZLE (i.e., complex-valued Zhang linear equation or termed complex-valued time-varying linear equation) is proposed and analyzed in this paper. Different from conventional G-type model, such a Z-type model utilizes adequately the first-order time-derivative information of time-varying coefficients, and eliminates a predefined vector-valued error function rather than a scalar-valued error function to zero. The state vector of such a Z-type model globally and exponentially converges to the unique theoretical time-varying solution-pair of complex ZLE. Computer-simulation results further verify and illustrate the effectiveness, efficiency and novelty of the proposed Z-type model.

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References

  1. Zhang, Y., Ge, S.S.: Design and Analysis of A General Recurrent Neural Network Model for Time-Varying Matrix Inversion. IEEE Trans. Neural Netw. 16, 1477–1490 (2005)

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Author information

Authors and Affiliations

  1. School of Information Science and Technology, Sun Yat-sen University (SYSU), Guangzhou, 510006, China

    Long Jin, Hongzhou Tan, Ziyi Luo, Zhan Li & Yunong Zhang

  2. SYSU-CMU Shunde International Joint Research Institute, Shunde, 528300, China

    Long Jin, Hongzhou Tan, Ziyi Luo & Yunong Zhang

  3. Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Guangzhou, 510640, China

    Long Jin, Ziyi Luo & Yunong Zhang

Authors
  1. Long Jin
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  2. Hongzhou Tan
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  3. Ziyi Luo
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  4. Zhan Li
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  5. Yunong Zhang
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Corresponding author

Correspondence to Yunong Zhang .

Editor information

Editors and Affiliations

  1. Wuhan, China

    Zhigang Zeng

  2. University of Macau, Macau, Macao

    Yangmin Li

  3. The Chinese University of Hong Kong, Hong Kong, Hong Kong, Hong Kong SAR

    Irwin King

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© 2014 Springer International Publishing Switzerland

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Cite this paper

Jin, L., Tan, H., Luo, Z., Li, Z., Zhang, Y. (2014). Z-Type Model for Real-Time Solution of Complex ZLE. In: Zeng, Z., Li, Y., King, I. (eds) Advances in Neural Networks – ISNN 2014. ISNN 2014. Lecture Notes in Computer Science(), vol 8866. Springer, Cham. https://doi.org/10.1007/978-3-319-12436-0_32

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  • DOI: https://doi.org/10.1007/978-3-319-12436-0_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12435-3

  • Online ISBN: 978-3-319-12436-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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