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Global Stability of Two Linear Non-autonomous Takagi–Sugeno Fuzzy Systems

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Ecosystem Assessment and Fuzzy Systems Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 254))

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Abstract

In our present chapter, we investigate two linear non-autonomous Takagi–Sugeno fuzzy dynamical systems. By constructing appropriate Lyapunov function and using analytical techniques, we obtain global stability conditions for two linear non-autonomous Takagi–Sugeno fuzzy systems, which is helpful for fuzzy control system design.

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References

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Acknowledgments

The authors thank the National Natural Science Foundation of China (No. 11071151) and the Special Fund of Shaanxi Provincial Education Department (No. 2013JK0568) for the support. And this work is also supported by International Science and Technology Cooperation Program of China (2012DFA1127) and Hainan International Cooperation Key Project (GJXM201105).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Min Zhou & Sheng-gang Li

  2. School of Science, Xi’an Polytechnic University, Xi’an, 710048, China

    Xiao-fei Yang

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  1. Min Zhou
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  2. Sheng-gang Li
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  3. Xiao-fei Yang
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Corresponding author

Correspondence to Min Zhou .

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Editors and Affiliations

  1. School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, People's Republic of China

    Bing-Yuan Cao

  2. School of Information Science and Technology, Hainan Normal University, Haikou, People's Republic of China

    Sheng-Quan Ma

  3. Department of Geography, University of Ottawa, Ottawa, Ontario, Canada

    Hu-hua Cao

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Zhou, M., Li, Sg., Yang, Xf. (2014). Global Stability of Two Linear Non-autonomous Takagi–Sugeno Fuzzy Systems. In: Cao, BY., Ma, SQ., Cao, Hh. (eds) Ecosystem Assessment and Fuzzy Systems Management. Advances in Intelligent Systems and Computing, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-319-03449-2_15

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  • DOI: https://doi.org/10.1007/978-3-319-03449-2_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03448-5

  • Online ISBN: 978-3-319-03449-2

  • eBook Packages: EngineeringEngineering (R0)

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