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Well-Posedness of a Class of Piecewise Affine Systems

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Book cover Control and Modeling of Complex Systems

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The well-posedness problem (existence and uniqueness of solutions) of a class of piecewise affine (PWA) systems is addressed. First, two kinds of discrete transition rules, i.e., the mode-based rule and the switch-based rule, are introduced to define the concept of solutions of PWA systems. Next, after several fundamental tools for the well-posedness analysis are given, necessary and/or sufficient conditions for the system to be well-posed are presented.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Environmental Informatics Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Oh-Okayama 2-12-1, Meguro-ku, Tokyo, 152-8552, Japan

    Jun-ichi Imura

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  1. Jun-ichi Imura
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Editor information

Editors and Affiliations

  1. Department of Information Physics and Computing, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-8656, Japan

    Koichi Hashimoto

  2. Department of Mathematical Informatics, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-8656, Japan

    Yasuaki Oishi

  3. Department of Applied Analysis and Complex Dynamical Systems, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto, 606-8501, Japan

    Yutaka Yamamoto

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Imura, Ji. (2003). Well-Posedness of a Class of Piecewise Affine Systems. In: Hashimoto, K., Oishi, Y., Yamamoto, Y. (eds) Control and Modeling of Complex Systems. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0023-9_14

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  • DOI: https://doi.org/10.1007/978-1-4612-0023-9_14

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6577-1

  • Online ISBN: 978-1-4612-0023-9

  • eBook Packages: Springer Book Archive

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