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Robust State Estimation for Delayed Complex-Valued Neural Networks

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Abstract

This paper is concerned with the state estimation problem for the uncertain complex-valued neural networks with time delays. The parameter uncertainties are assumed to be norm-bounded. Through available output measurements containing nonlinear Lipschitz-like terms, we aim to design a state estimator to estimate the complex-valued network such that, for all admissible parameter uncertainties and time delay, the dynamics of the error-state system is guaranteed to be globally asymptotically stable. In addition, the case that there are no parameter uncertainties is also considered. By utilizing the Lyapunov functional method and matrix inequality techniques, some sufficient delay-dependent criteria are derived to assure the existence of the desired estimator gains. Finally, two numerical examples with simulations are presented to demonstrate the effectiveness of the proposed estimation schemes.

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Acknowledgements

This work is supported in part by the Six Talent Peaks Project for the High Level Personnel from the Jiangsu Province of China under Grant 2015-DZXX-003, the Fundamental Research Funds for the Central Universities (No. 2242015K42009), the National Natural Science Foundation of China under Grant 61673110, Grant 61403248 and Grant 61673111, the Shanghai Yangfan Program of China under Grant 14YF1409800, the Shanghai Young Teacher’s Training Program under Grant ZZgcd14005, and the Zhanchi Program of Shanghai University of Engineering Science under Grant nhrc201514.

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Authors and Affiliations

  1. School of Mathematics, Southeast University, Nanjing, 210096, China

    Weiqiang Gong, Jinling Liang, Xiu Kan & Xiaobing Nie

  2. School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Xiu Kan

  3. Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jinling Liang

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  1. Weiqiang Gong
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  2. Jinling Liang
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  3. Xiu Kan
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  4. Xiaobing Nie
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Correspondence to Jinling Liang.

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Gong, W., Liang, J., Kan, X. et al. Robust State Estimation for Delayed Complex-Valued Neural Networks. Neural Process Lett 46, 1009–1029 (2017). https://doi.org/10.1007/s11063-017-9626-2

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  • DOI: https://doi.org/10.1007/s11063-017-9626-2

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