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Passivity Criterion of Stochastic T-S Fuzzy Systems with Time-Varying Delays

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Book cover Advances in Neural Networks – ISNN 2013 (ISNN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7951))

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Abstract

In this paper, the passivity for stochastic Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated without assuming the differentiability of the time-varying delays. By utilizing the Lyapunov functional method, the It\(\hat{o}\) differential rule and the matrix inequality techniques, a delay-dependent criterion to ensure the passivity for T-S fuzzy systems with time-varying delays is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China

    Zhenjiang Zhao

  2. Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, China

    Qiankun Song

Authors
  1. Zhenjiang Zhao
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  2. Qiankun Song
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Editor information

Editors and Affiliations

  1. School of Information and Communication Engineering, Dalian University of Technology, A 530, Chuangxinyuan Building, 116023, Dalian, China

    Chengan Guo

  2. Institute of Automation, Chinese Academy of Sciences, 100864, Beijing, China

    Zeng-Guang Hou

  3. School of Automation, Huazhong University of Science and Technology, 430074, Wuhan, China

    Zhigang Zeng

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhao, Z., Song, Q. (2013). Passivity Criterion of Stochastic T-S Fuzzy Systems with Time-Varying Delays. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_18

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  • DOI: https://doi.org/10.1007/978-3-642-39065-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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