Applications of MetiTarski in the Verification of Control and Hybrid Systems

  • Behzad Akbarpour
  • Lawrence C. Paulson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5469)


MetiTarski, an automatic proof procedure for inequalities on elementary functions, can be used to verify control and hybrid systems. We perform a stability analysis of control systems using Nichols plots, presenting an inverted pendulum and a magnetic disk drive reader system. Given a hybrid systems specified by a system of differential equations, we use Maple to obtain a problem involving the exponential and trigonometric functions, which MetiTarski can prove automatically.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Behzad Akbarpour
    • 1
  • Lawrence C. Paulson
    • 2
  1. 1.Concordia UniversityMontrealCanada
  2. 2.Computer LaboratoryUniversity of CambridgeEngland

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