Decidable hybrid systems

  • Authors:
  • A. Puri;P. Varaiya

  • Affiliations:
  • Department of Electrical Engineering and Computer Science University of California, Berkeley, CA 94720, U.S.A.;Department of Electrical Engineering and Computer Science University of California, Berkeley, CA 94720, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1996

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Abstract

Hybrid systems combine differential equations with discrete event systems. We consider the reachability problem: is there a trajectory from an initial state to a target state in the hybrid system. We show that for hybrid systems with decoupled differential inclusions, the reachability problem can be decided in a finite number of steps.