Generalised Computability and Applications to Hybrid Systems

  • Authors:
  • Margarita V. Korovina;Oleg V. Kudinov

  • Affiliations:
  • -;-

  • Venue:
  • PSI '02 Revised Papers from the 4th International Andrei Ershov Memorial Conference on Perspectives of System Informatics: Akademgorodok, Novosibirsk, Russia
  • Year:
  • 2001

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Abstract

We investigate the concept of generalised computability of operators and functionals defined on the set of continuous functions, firstly introduced in [9]. By working in the reals, with equality and without equality, we study properties of generalised computable operators and functionals. Also we propose interesting applications to formalisation of hybrid systems. We obtain some class of hybrid systems, which trajectories are computable in the sense of computable analysis.