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Global μ‐Stability of Complex‐Valued Neural Networks with Unbounded Time‐Varying Delays

Author

Listed:
  • Xiaofeng Chen
  • Qiankun Song
  • Xiaohui Liu
  • Zhenjiang Zhao

Abstract

The complex‐valued neural networks with unbounded time‐varying delays are considered. By constructing appropriate Lyapunov‐Krasovskii functionals, and employing the free weighting matrix method, several delay‐dependent criteria for checking the global μ‐stability of the addressed complex‐valued neural networks are established in linear matrix inequality (LMI), which can be checked numerically using the effective LMI toolbox in MATLAB. Two examples with simulations are given to show the effectiveness and less conservatism of the proposed criteria.

Suggested Citation

  • Xiaofeng Chen & Qiankun Song & Xiaohui Liu & Zhenjiang Zhao, 2014. "Global μ‐Stability of Complex‐Valued Neural Networks with Unbounded Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:263847
    DOI: 10.1155/2014/263847
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    References listed on IDEAS

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    1. Jinliang Liu & Jie Cao & Zhiang Wu & Qiong Qi, 2014. "State estimation for complex systems with randomly occurring nonlinearities and randomly missing measurements," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1364-1374, July.
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