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Abstraction-Based Parameter Synthesis for Multiaffine Systems

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2015

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Bogomolov, Sergiy
Bartocci, Ezio
Batt, Gregory
Kong, Hui
Grosu, Radu

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https://doi.org/10.1007/978-3-319-26287-1_2
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PITERMAN, Nir, ed.. Hardware and software: verification and testing : 11th International Haifa Verification Conference, HVC 2015, Haifa, Israel, November 17 - 19, 2015, proceedings. Cham: Springer, 2015, pp. 19-35. Lecture Notes in Computer Science. 9434. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-26286-4. Available under: doi: 10.1007/978-3-319-26287-1_2

Zusammenfassung

Multiaffine hybrid automata (MHA) represent a powerful formalism to model complex dynamical systems. This formalism is particularly suited for the representation of biological systems which often exhibit highly non-linear behavior. In this paper, we consider the problem of parameter identification for MHA. We present an abstraction of MHA based on linear hybrid automata, which can be analyzed by the SpaceEx model checker. This abstraction enables a precise handling of time-dependent properties. We demonstrate the potential of our approach on a model of a genetic regulatory network and a myocyte model.

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Parameter Domain, Valid Parameter, Kripke Structure, Hybrid Automaton, Genetic Regulatory Network

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11th International Haifa Verification Conference, HVC 2015, 17. Nov. 2015 - 19. Nov. 2015, Haifa, Israel
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ISO 690BOGOMOLOV, Sergiy, Christian SCHILLING, Ezio BARTOCCI, Gregory BATT, Hui KONG, Radu GROSU, 2015. Abstraction-Based Parameter Synthesis for Multiaffine Systems. 11th International Haifa Verification Conference, HVC 2015. Haifa, Israel, 17. Nov. 2015 - 19. Nov. 2015. In: PITERMAN, Nir, ed.. Hardware and software: verification and testing : 11th International Haifa Verification Conference, HVC 2015, Haifa, Israel, November 17 - 19, 2015, proceedings. Cham: Springer, 2015, pp. 19-35. Lecture Notes in Computer Science. 9434. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-26286-4. Available under: doi: 10.1007/978-3-319-26287-1_2
BibTex
@inproceedings{Bogomolov2015Abstr-52797,
  year={2015},
  doi={10.1007/978-3-319-26287-1_2},
  title={Abstraction-Based Parameter Synthesis for Multiaffine Systems},
  number={9434},
  isbn={978-3-319-26286-4},
  issn={0302-9743},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computer Science},
  booktitle={Hardware and software: verification and testing : 11th International Haifa Verification Conference, HVC 2015, Haifa, Israel, November 17 - 19, 2015, proceedings},
  pages={19--35},
  editor={Piterman, Nir},
  author={Bogomolov, Sergiy and Schilling, Christian and Bartocci, Ezio and Batt, Gregory and Kong, Hui and Grosu, Radu}
}
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