Perturbation analysis with qualitative models

  • Authors:
  • Renato De Mori;Robert Prager

  • Affiliations:
  • Centre de recherche informatique de Montreal, Montreal, Quebec, Canada and School of Computer Science, McGill University, Montreal, Quebec, Canada;School of Computer Science, McGill University, Montreal, Quebec, Canada and CAE Electronics Ltd., St. Laurent, Quebec, Canada

  • Venue:
  • IJCAI'89 Proceedings of the 11th international joint conference on Artificial intelligence - Volume 2
  • Year:
  • 1989

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Abstract

Perturbation analysis deals with the relationships between small changes in a system's inputs or model and changes in its outputs. Reverse simulation is of particular interest, determining how to achieve desired outputs by perturbing inputs or model parameters. Some applications of this type of analysis are suggested. Perturbation analysis is developed in the context of continuous systems whose dynamics, over small ranges of the system's behaviour, can be represented by linear models. All variables and signals are represented by intervals with qualitative end points. Qualitative linear models are introduced to represent time-varying systems. These representations permit the use of network consistency algorithms to solve perturbation analysis problems.