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New Absolute Stability Criteria for T-S Fuzzy Lurie Control Systems with Time-Delay and Nonlinearities

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Fuzzy Engineering and Operations Research

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 147))

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Abstract

In this paper, the problem of absolute stability for a new class of T-S fuzzy Lurie control systems with time-delay and nonlinearities is considered. By utilizing the Lyapunov stability theory and novel techniques, new Lyapunov functions are defined and a new delay-dependent absolute stability condition is derived. Finally, by using LMI Control Toolbox and Simulink toolbox in MATLAB, a numerical example is presented to illustrate feasibility and effectiveness of the proposed results.

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References

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Author information

Authors and Affiliations

  1. School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, China

    Xiao-xu Xia & Yong Wang

  2. Department of Computing Technology, Southwest Electric Power Design Institute of China, Chengdu, Sichuan, 610021, China

    Yan-ju Luo

  3. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan, 610500, China

    Yong Wang

Authors
  1. Xiao-xu Xia
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  2. Yan-ju Luo
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  3. Yong Wang
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Corresponding author

Correspondence to Xiao-xu Xia .

Editor information

Editors and Affiliations

  1. School of Mathematics and, Information Science, Guangzhou University, Wai Huan Xi Road, Guangdong, 510006, China, People's Republic

    Bing-Yuan Cao

  2. , School of Science, Southwest Petroleum University, Xindu Avenue 8#, Chengdu, 610500, China, People's Republic

    Xiang-Jun Xie

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© 2012 Springer-Verlag Berlin Heidelberg

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Xia, Xx., Luo, Yj., Wang, Y. (2012). New Absolute Stability Criteria for T-S Fuzzy Lurie Control Systems with Time-Delay and Nonlinearities. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-28592-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28591-2

  • Online ISBN: 978-3-642-28592-9

  • eBook Packages: EngineeringEngineering (R0)

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