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A New Stability Condition for Uncertain Fuzzy Hopfield Neural Networks with Time-varying Delays

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  • Intelligent Control and Applications
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Abstract

In this paper, the global asymptotic stability of uncertain fuzzy Hopfield neural networks(UFHNNs) with time-varying delays is investigated. Firstly, a new fuzzy Lyapunov function comprising a special line-integral function of fuzzy vector is proposed. Then by using the Wirtinger-based integral inequality to determine the upper bound of the derivative term of the Lyapunov function more accurately, a new stability criterion with less conservatism is derived in the form of linear matrix inequality(LMI). At last, an examples is given to show the effectiveness and superiority of our result.

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Author information

Authors and Affiliations

  1. Laiwu Vocational and Technical College, Laiwu City, Shandong Province, China

    Jing Wang

  2. Research Institute of PetroChina, Liaoyang Petrochemical Company, Liaoning Province, China

    Xia Liu

  3. Key Lab for IOT and Information Fusion Technology of Zhejiang, Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, 310018, China

    Jianjun Bai & Yuanfang Chen

Authors
  1. Jing Wang
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  2. Xia Liu
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  3. Jianjun Bai
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  4. Yuanfang Chen
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Corresponding author

Correspondence to Jianjun Bai.

Additional information

Recommended by Associate Editor Xiaojie Su under the direction of Editor Fuchun Sun. This work is supported by China National Natural Science Foundation of China under Grant No.s 61773146, 61703132, 61425009, 61427808, NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization under Grant No. U1509205.

Jing Wang received her B.S. degree from Shandong University of Technology in 2006, and Master degree in 2009. Now, she works in the Department of Mechanical and Automotive Engineering of Laiwu Vocational and Technical College. Her main research interests include mechanical design and manufacturing, automation control.

Xia Liu received her bachelor’s degree in process equipment and control engineering from University of Petroleum China in 2007. Since 2015, she has been engaged in equipment management in the plant of the research institute of liaoyang petrochemical company.

Jianjun Bai received his B.S. degree from University of Petroleum China in 2006 and his Ph.D. degree from Zhejiang University. Now he is an associate professor in Institute of Information and Control at Hangzhou Dianzi University. His research interests include robust control, networked control systems, intelligent control.

Yuanfang Chen is a B.S. student in the Institute of Information and Control at Hangzhou Dianzi University. His research interests include robust control, intelligent control.

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Wang, J., Liu, X., Bai, J. et al. A New Stability Condition for Uncertain Fuzzy Hopfield Neural Networks with Time-varying Delays. Int. J. Control Autom. Syst. 17, 1322–1329 (2019). https://doi.org/10.1007/s12555-017-0695-9

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  • DOI: https://doi.org/10.1007/s12555-017-0695-9

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