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Finite-Time Boundedness Analysis of Uncertain Neural Networks with Time Delay: An LMI Approach

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Advances in Neural Networks – ISNN 2007 (ISNN 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4491))

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Abstract

This paper considers the problem of finite-time boundedness (FTB) of the general delayed neural networks with norm-bounded parametric uncertainties. The concept of FTB for time delay system is extended first. Then, based on the Lyapunov function and linear matrix inequality (LMI) technique, some delay-dependent criteria are derived to guarantee FTB. The conditions can be reduced to a feasibility problem involving linear matric inequalities (LMIs). Finally, two examples are given to demonstrate the validity of the proposed methodology.

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Author information

Authors and Affiliations

  1. The Institute of Nonlinear Complex System, China Three Gorges University, YiChang, 443002, China

    Yanjun Shen & Lin Zhu

  2. School of Economic & Management, Three Gorges University, YiChang, 443002, China

    Qi Guo

Authors
  1. Yanjun Shen
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  2. Lin Zhu
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  3. Qi Guo
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering (M/C 154), University of Illinois at Chicago, 851 S. Morgan Street, 60607-7053, Chicago, IL, USA

    Derong Liu

  2. School of Automation, Southeast University, 210096, Nanjing, China

    Shumin Fei

  3. Laboratory of Complex Systems, Institute of Automation, Chinese Adacemy of Sciences, 100080, Beijing, P. R. China

    Zeng-Guang Hou

  4. School of Information Science and Engineering, Northeast University, Shenyang, 110004, China

    Huaguang Zhang

  5. School of Electrical Engineering, Hohai University, Nanjing, 210098, China

    Changyin Sun

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© 2007 Springer-Verlag Berlin Heidelberg

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Shen, Y., Zhu, L., Guo, Q. (2007). Finite-Time Boundedness Analysis of Uncertain Neural Networks with Time Delay: An LMI Approach. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_105

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  • DOI: https://doi.org/10.1007/978-3-540-72383-7_105

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72382-0

  • Online ISBN: 978-3-540-72383-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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