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Realization Theory for Discrete-Time Semi-algebraic Hybrid Systems

  • Mihály Petreczky
  • René Vidal
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4981)

Abstract

We present realization theory for a class of autonomous discrete-time hybrid systems called semi-algebraic hybrid systems. These are systems in which the state and output equations associated with each discrete state are defined by polynomial equalities and inequalities. We first show that these systems generate the same output as semi-algebraic systems and implicit polynomial systems. We then derive necessary and almost sufficient conditions for existence of an implicit polynomial system realizing a given time-series data. We also provide a characterization of the dimension of a minimal realization as well as an algorithm for computing a realization from a given time-series data.

Keywords

Hybrid System Formal Power Series Realization Theory Switching Signal Discrete Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Mihály Petreczky
    • 1
    • 2
  • René Vidal
    • 2
  1. 1.Eindhoven University of TechnologyEindhovenThe Netherlands
  2. 2.Center for Imaging ScienceJohns Hopkins UniversityBaltimoreUSA

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