Haifa Verification Conference

Hardware and Software: Verification and Testing pp 19-35

Abstraction-Based Parameter Synthesis for Multiaffine Systems

  • Sergiy Bogomolov
  • Christian Schilling
  • Ezio Bartocci
  • Gregory Batt
  • Hui Kong
  • Radu Grosu
Conference paper

DOI: 10.1007/978-3-319-26287-1_2

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9434)
Cite this paper as:
Bogomolov S., Schilling C., Bartocci E., Batt G., Kong H., Grosu R. (2015) Abstraction-Based Parameter Synthesis for Multiaffine Systems. In: Piterman N. (eds) Hardware and Software: Verification and Testing. Lecture Notes in Computer Science, vol 9434. Springer, Cham

Abstract

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.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Sergiy Bogomolov
    • 1
  • Christian Schilling
    • 2
  • Ezio Bartocci
    • 3
  • Gregory Batt
    • 4
  • Hui Kong
    • 1
  • Radu Grosu
    • 3
  1. 1.IST AustriaKlosterneuburgAustria
  2. 2.University of FreiburgFreiburg im BreisgauGermany
  3. 3.Vienna University of TechnologyViennaAustria
  4. 4.INRIA Paris-RocquencourtParisFrance

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