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

  • Long Jin
  • Hongzhou Tan
  • Ziyi Luo
  • Zhan Li
  • Yunong Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8866)

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.

Keywords

Z-type model G-type model Complex ZLE (complex Zhang linear equation) Global exponential convergence 

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References

  1. 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)CrossRefGoogle Scholar
  2. 2.
    Zhang, Y., Li, Z., Guo, D., Chen, K., Chen, P.: Superior Robustness of Using Power-Sigmoid Activation Functions in Z-Type Models for Time-Varying Problems Solving. In: Proceedings of the International Conference on Machine Learning and Cybernetics, pp. 759–764. IEEE Press, New York (2013)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Long Jin
    • 1
    • 2
    • 3
  • Hongzhou Tan
    • 1
    • 2
  • Ziyi Luo
    • 1
    • 2
    • 3
  • Zhan Li
    • 1
  • Yunong Zhang
    • 1
    • 2
    • 3
  1. 1.School of Information Science and TechnologySun Yat-sen University (SYSU)GuangzhouChina
  2. 2.SYSU-CMU Shunde International Joint Research InstituteShundeChina
  3. 3.Key Laboratory of Autonomous Systems and Networked ControlMinistry of EducationGuangzhouChina

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