Uncertainty, dualism and inverse reachable sets

doi:10.2507/IJSIMM10(1)4.180

Uncertainty, dualism and inverse reachable sets

Journal

International Journal of Simulation Modelling

ISSN

1726-4529

Date Issued

2011

Author(s)

Type

text::journal::journal article

DOI

10.2507/IJSIMM10(1)4.180

URL

https://scripta.up.edu.mx/handle/20.500.12552/4514

Abstract

A specification in the language of the theory of categories is given for dynamic models with uncertainty. For continuous models the uncertainty is treated by means of differential inclusions. The reversibility and the inverse problem are considered. It is shown that models with uncertainty are not reversible (cannot be solved simply reversing the time). The inverse problem for such models is solved using the concept of dualism in the theory of categories. The categorical language is much more abstract and the categorical specification may work in continuous case as well in the discrete event simulation.