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Trajectory Based Verification Using Local Finite-Time Invariance

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Hybrid Systems: Computation and Control (HSCC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5469))

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Abstract

In this paper we propose a trajectory based reachability analysis by using local finite-time invariance property. Trajectory based analysis are based on the execution traces of the system or the simulation thereof. This family of methods is very appealing because of the simplicity of its execution, the possibility of having a partial verification, and its highly parallel structure.

The key idea in this paper is the construction of local barrier functions with growth bound in local domains of validity. By using this idea, we can generalize our previous method that is based on the availability of global bisimulation functions. We also propose a computational scheme for constructing the local barrier functions and their domains of validity, which is based on the S-procedure. We demonstrate that our method subsumes some other existing methods as special cases, and that for polynomial systems the computation can be implemented using sum-of-squares programming.

This work is partially funded by National Science Foundations awards CSR-EHS 0720518 and CSR-EHS 0509327.

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Author information

Authors and Affiliations

  1. Department of Electrical and Systems Engineering, University of Pennsylvania, 200 South 33rd Street, Philadelphia, PA-19104, United States of America

    A. Agung Julius & George J. Pappas

Authors
  1. A. Agung Julius
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  2. George J. Pappas
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of California, 4531E Boelter Hall, CA 90095, Los Angeles, USA

    Rupak Majumdar

  2. Department of Electrical Engineering, University of California, 66-147F Engineering, IV Building, CA 90095-1594, Los Angeles, USA

    Paulo Tabuada

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Julius, A.A., Pappas, G.J. (2009). Trajectory Based Verification Using Local Finite-Time Invariance. In: Majumdar, R., Tabuada, P. (eds) Hybrid Systems: Computation and Control. HSCC 2009. Lecture Notes in Computer Science, vol 5469. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00602-9_16

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  • DOI: https://doi.org/10.1007/978-3-642-00602-9_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00601-2

  • Online ISBN: 978-3-642-00602-9

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