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Hybrid regular expressions

  • Li Xuandong
  • Zheng Tao
  • Hou Jianmin
  • Zhao Jianhua
  • Zheng Guoliang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1386)

Abstract

In this paper, we consider the problem verifying hybrid systems modelled by linear hybrid automata. We extend the traditional regular expressions with time constraints and use them as a language to describe the behaviour of a class of linear hybrid automata. The extended notation is called Hybrid Regular Expression (HRE). Based on linear programming, we show that for the class of linear hybrid automata whose behaviour can be represented by HREs, two class of reachability problems and the satisfaction problem for linear duration invariants are decidable.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Li Xuandong
    • 1
  • Zheng Tao
    • 1
  • Hou Jianmin
    • 1
  • Zhao Jianhua
    • 1
  • Zheng Guoliang
    • 1
  1. 1.State Key Laboratory of Novel Software Technology Department of Computer Science and TechnologyNanjing UniversityJiangsuP.R.China

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