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Invariance principle in hybrid systems modeled by mixed mappings

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Hybrid and Real-Time Systems (HART 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1201))

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Abstract

Mixed mapping systems have been introduced in order to analyze an effect of quantization in digital computers on controlled behaviors of digital control systems. We consider a mixed mapping in which discrete variables are governed by set-valued mappings. We propose a new concept of stability called w-asymptotical stability, and show an invariance principle and sufficient conditions of stability of invariant sets using Lyapunov functions.

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Authors and Affiliations

  1. Department of Electronic Engineering, Osaka University, 2-1 Yamadaoka, Suita, 565, Osaka, Japan

    Toshimitsu Ushio

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  1. Toshimitsu Ushio
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Oded Maler

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© 1997 Springer-Verlag Berlin Heidelberg

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Ushio, T. (1997). Invariance principle in hybrid systems modeled by mixed mappings. In: Maler, O. (eds) Hybrid and Real-Time Systems. HART 1997. Lecture Notes in Computer Science, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014741

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  • DOI: https://doi.org/10.1007/BFb0014741

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62600-8

  • Online ISBN: 978-3-540-68330-8

  • eBook Packages: Springer Book Archive

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