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Global Exponential Stability of FCNNs with Bounded Uncertain Delays

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

In this paper, fuzzy cellular neural networks with bounded uncertain delays are investigated. By constructing Lyapunov functional method, applying inequality technique and the homeomorphism theory, we derive some new sufficient conditions to guarantee existence, uniqueness of the equilibrium point and its global exponential stability for fuzzy cellular neural networks. The results of this paper are new and they complement previously known results.

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Author information

Authors and Affiliations

  1. Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan, 421002, P.R. China

    Guozheng Wang & Qianhong Zhang

  2. School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan, 410083, P.R. China

    Qianhong Zhang & Zhenguo Luo

Authors
  1. Guozheng Wang
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  2. Qianhong Zhang
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  3. Zhenguo Luo
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Wang, G., Zhang, Q., Luo, Z. (2009). Global Exponential Stability of FCNNs with Bounded Uncertain Delays. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_45

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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