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Optimal Control Using Functional Type SIRMs Fuzzy Reasoning Method

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Artificial Neural Networks and Machine Learning – ICANN 2011 (ICANN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6792))

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Abstract

A mathematical framework for studying a fuzzy optimal control using functional type SIRMs reasoning method is discussed in this paper. The existence of SIRMs which minimize the cost function of fuzzy control system is proved with continuity of approximate reasoning and topological property of the set of membership functions in SIRMs.

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References

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Author information

Authors and Affiliations

  1. University of Marketing and Distribution Sciences, Kobe, 651-2188, Japan

    Takashi Mitsuishi

  2. Shinshu University, Nagano, 380-8553, Japan

    Yasunari Shidama

Authors
  1. Takashi Mitsuishi
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  2. Yasunari Shidama
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Editor information

Editors and Affiliations

  1. Department of Information and Computer Science, Aalto University School of Science, P.O. Box 15400, 00076, Aalto, Finland

    Timo Honkela  & Samuel Kaski  & 

  2. School of Physics, Astronomy and Informatics, Department of Informatics, Nicolaus Copernicus University, ul. Grudziadzka 5, 87-100, Torun, Poland

    Włodzisław Duch

  3. Department of Statistical Science, University College London, 1-19 Torrington Place, WC1E 7HB, London, UK

    Mark Girolami

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© 2011 Springer-Verlag Berlin Heidelberg

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Mitsuishi, T., Shidama, Y. (2011). Optimal Control Using Functional Type SIRMs Fuzzy Reasoning Method. In: Honkela, T., Duch, W., Girolami, M., Kaski, S. (eds) Artificial Neural Networks and Machine Learning – ICANN 2011. ICANN 2011. Lecture Notes in Computer Science, vol 6792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21738-8_31

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  • DOI: https://doi.org/10.1007/978-3-642-21738-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21737-1

  • Online ISBN: 978-3-642-21738-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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