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International Conference on Fuzzy Systems and Knowledge Discovery

FSKD 2006: Fuzzy Systems and Knowledge Discovery pp 41–44Cite as

New Robust Stability Criterion for Uncertain Fuzzy Systems with Fast Time-Varying Delays

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

This paper considers the robust stability of uncertain T-S fuzzy system with time-varying delay. A new delay-dependent stability condition for the system is derived in terms of LMIs. The constraint on the time-varying delay function is removed, which means that a fast time-varying delay is allowed. Numerical example is given to illustrate the effectiveness and less conservativeness of the developed techniques.

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References

  1. Li, C., Wang, H., Liao, X.: Delay-Dependent Robust Stability of Uncertain Fuzzy Systems with Time-Varying Delays. IEE Proc. Control Theory Appl. 151, 417–421 (2004)

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  2. Han, Q.: A Descriptor System Approach to Robust Stability of Uncertain Neutral Systems with Discrete and Distributed Delays. Automatica 40, 1791–1796 (2004)

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  3. Cao, Y., Frank, P.: Analysis and Synthesis of Nonlinear Time-Delay Systems via Fuzzy Control Approach. IEEE Trans. Fuzzy Syst. 8, 200–211 (2000)

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  4. Zhang, Y., Heng, P.: Stability of Fuzzy Control Systems with Bounded Uncertain Delays. IEEE Trans. Fuzzy Syst. 10, 92–97 (2002)

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Author information

Authors and Affiliations

  1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, P.R. China

    Jiqing Qiu & Jinhui Zhang

Authors
  1. Jiqing Qiu
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  2. Jinhui Zhang
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University,, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Life Science Research Center, School of Electronic Engineering, Xidian University,, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  3. School of Electrical and Electronic Engineering, Xidian University, 710071, Xi’an, China

    Guanming Shi

  4. School of Information Technology and Electrical Engineering, The University of Queensland, 4072, Brisbane, Queensland, Australia

    Xue Li

  5. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Qiu, J., Zhang, J. (2006). New Robust Stability Criterion for Uncertain Fuzzy Systems with Fast Time-Varying Delays. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_5

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  • DOI: https://doi.org/10.1007/11881599_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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