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International Workshop on Hybrid and Real-Time Systems

HART 1997: Hybrid and Real-Time Systems pp 397–402Cite as

Invariance principle in hybrid systems modeled by mixed mappings

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

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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