The algorithmic analysis of hybrid systems Journal Article


Author(s): Alur, Rajeev; Courcoubetis, Costas; Halbwachs, Nicolas; Henzinger, Thomas A; Ho, Pei-Hsin; Nicollin, Xavier; Olivero, Alfredo; Sifakis, Joseph; Yovine, Sergio
Article Title: The algorithmic analysis of hybrid systems
Affiliation
Abstract: We present a general framework for the formal specification and algorithmic analysis of hybrid systems. A hybrid system consists of a discrete program with an analog environment. We model hybrid systems as finite automata equipped with variables that evolve continuously with time according to dynamical laws. For verification purposes, we restrict ourselves to linear hybrid systems, where all variables follow piecewise-linear trajectories. We provide decidability and undecidability results for classes of linear hybrid systems, and we show that standard program-analysis techniques can be adapted to linear hybrid systems. In particular, we consider symbolic model-checking and minimization procedures that are based on the reachability analysis of an infinite state space. The procedures iteratively compute state sets that are definable as unions of convex polyhedra in multidimensional real space. We also present approximation techniques for dealing with systems for which the iterative procedures do not converge.
Journal Title: Theoretical Computer Science
Volume: 138
Issue 1
ISSN: 0304-3975
Publisher: Elsevier  
Date Published: 1995-02-06
Start Page: 3
End Page: 34
DOI: 10.1016/0304-3975(94)00202-T
Open access: no
IST Austria Authors
  1. Thomas A. Henzinger
    415 Henzinger
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