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Robust extended dissipativity criteria for discrete-time uncertain neural networks with time-varying delays

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Abstract

In this draft, we consider the problem of robust extended dissipativity for uncertain discrete-time neural networks (DNNs) with time-varying delays. By constructing appropriate Lyapunov–Krasovskii functional (LKF), sufficient conditions are established to ensure that the considered time-delayed uncertain DNN is extended dissipative. The derived conditions are presented in terms of linear matrix inequalities (LMIs). Numerical examples are provided to illustrate the superiority of this result.

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Acknowledgements

This work was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016R1A6A1A03013567) and by the Korea government (MEST) (NRF-2015R1A2A2A05001610) and in part by the Thailand Research Fund (TRF), Thailand.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand

    R. Saravanakumar & Grienggrai Rajchakit

  2. Department of Mathematics, Thiruvalluvar University, Vellore, 632115, Tamil Nadu, India

    M. Syed Ali

  3. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Zhengrong Xiang

  4. Department of Control and Robotics Engineering, Kunsan National University, Kunsan, Chonbuk, 573-701, Republic of Korea

    R. Saravanakumar & Young Hoon Joo

  5. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thung Khru, Bangkok, 10140, Thailand

    R. Saravanakumar

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  1. R. Saravanakumar
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  2. Grienggrai Rajchakit
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  3. M. Syed Ali
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  4. Zhengrong Xiang
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Correspondence to Young Hoon Joo.

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Saravanakumar, R., Rajchakit, G., Ali, M.S. et al. Robust extended dissipativity criteria for discrete-time uncertain neural networks with time-varying delays. Neural Comput & Applic 30, 3893–3904 (2018). https://doi.org/10.1007/s00521-017-2974-z

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  • DOI: https://doi.org/10.1007/s00521-017-2974-z

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