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Morphisms for Non-trivial Non-linear Invariant Generation for Algebraic Hybrid Systems

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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

We present a new method that addresses various deficiencies of the state-of-the-art non-linear invariant generation methods for hybrid systems. By identifying suitable endomorphisms for each algebraic consecution condition, we reduce the problem to the computation of specific eigenspaces and their intersections.

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References

  1. Sankaranarayanan, S., Sipma, H., Manna, Z.: Constructing invariants for hybrid system. In: Alur, R., Pappas, G.J. (eds.) HSCC 2004. LNCS, vol. 2993, pp. 539–554. Springer, Heidelberg (2004)

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  2. Tiwari, A.: Generating box invariants. In: Egerstedt, M., Mishra, B. (eds.) HSCC 2008. LNCS, vol. 4981, pp. 658–661. Springer, Heidelberg (2008)

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  3. Rebiha, R., Matringe, N., Vieira Moura, A.: Endomorphisms for non-trivial non-linear loop invariant generation. In: Fitzgerald, J.S., Haxthausen, A.E., Yenigun, H. (eds.) ICTAC 2008. LNCS, vol. 5160, pp. 425–439. Springer, Heidelberg (2008)

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  4. Matringe, N., Vieira-Moura, A., Rebiha, R.: Morphisms for non-trivial non-linear invariant generation for algebraic hybrid systems. Technical Report TR-IC-08-32, Institute of Computing, University of Campinas (November 2008)

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  5. Kreuzed, A., Robbiano, L.: Computational commutative algebra. Springer, Heidelberg (2005)

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Author information

Authors and Affiliations

  1. Faculty of Informatics, University of Lugano, Switzerland

    Rachid Rebiha

  2. Institue de Mathematiques de Jussieu Université Paris, 7-Denis Diderot, France

    Nadir Matringe

  3. Institute of Computing, University of Campinas, SP, Brasil

    Arnaldo Vieira Moura & Rachid Rebiha

Authors
  1. Nadir Matringe
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  2. Arnaldo Vieira Moura
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  3. Rachid Rebiha
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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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© 2009 Springer-Verlag Berlin Heidelberg

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Matringe, N., Moura, A.V., Rebiha, R. (2009). Morphisms for Non-trivial Non-linear Invariant Generation for Algebraic Hybrid Systems. 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_32

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  • DOI: https://doi.org/10.1007/978-3-642-00602-9_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00601-2

  • Online ISBN: 978-3-642-00602-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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