### Abstract

Limit properties of the QSIM algorithm with respect to the spurious behaviours have been analysed in this short paper, in the case of approximating landmark sets and non-qualitative right-hand side functions. It has been shown that at least two types of spurious behaviour do not disappear in the limit. The first type corresponds to the identically constant solution and appears when the solution passes the zero location of the right-hand side function, i.e. at a critical point. The second type is a consequence of the rigid sign-based description of qualitative directions and it may appear in every multivariable case (for sets of qualitative differential equations). The commonly applied global filters do not remove the source of the problems. A mathematically correct solution would be using the extensions of the usual numerical methods for integrating ordinary differential equations operating on intervals.

Original language | English |
---|---|

Pages (from-to) | 105-109 |

Number of pages | 5 |

Journal | Artificial Intelligence in Engineering |

Volume | 7 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1992 |

### Fingerprint

### Keywords

- limit analysis
- qualitative reasoning
- qualitative simulation
- spurious behaviour

### ASJC Scopus subject areas

- Computer Science(all)
- Engineering(all)

### Cite this

*Artificial Intelligence in Engineering*,

*7*(2), 105-109. https://doi.org/10.1016/0954-1810(92)90009-Q

**Qualitative simulation in the limit.** / Hangos, K.; Csáki, Zs.

Research output: Contribution to journal › Article

*Artificial Intelligence in Engineering*, vol. 7, no. 2, pp. 105-109. https://doi.org/10.1016/0954-1810(92)90009-Q

}

TY - JOUR

T1 - Qualitative simulation in the limit

AU - Hangos, K.

AU - Csáki, Zs

PY - 1992

Y1 - 1992

N2 - Limit properties of the QSIM algorithm with respect to the spurious behaviours have been analysed in this short paper, in the case of approximating landmark sets and non-qualitative right-hand side functions. It has been shown that at least two types of spurious behaviour do not disappear in the limit. The first type corresponds to the identically constant solution and appears when the solution passes the zero location of the right-hand side function, i.e. at a critical point. The second type is a consequence of the rigid sign-based description of qualitative directions and it may appear in every multivariable case (for sets of qualitative differential equations). The commonly applied global filters do not remove the source of the problems. A mathematically correct solution would be using the extensions of the usual numerical methods for integrating ordinary differential equations operating on intervals.

AB - Limit properties of the QSIM algorithm with respect to the spurious behaviours have been analysed in this short paper, in the case of approximating landmark sets and non-qualitative right-hand side functions. It has been shown that at least two types of spurious behaviour do not disappear in the limit. The first type corresponds to the identically constant solution and appears when the solution passes the zero location of the right-hand side function, i.e. at a critical point. The second type is a consequence of the rigid sign-based description of qualitative directions and it may appear in every multivariable case (for sets of qualitative differential equations). The commonly applied global filters do not remove the source of the problems. A mathematically correct solution would be using the extensions of the usual numerical methods for integrating ordinary differential equations operating on intervals.

KW - limit analysis

KW - qualitative reasoning

KW - qualitative simulation

KW - spurious behaviour

UR - http://www.scopus.com/inward/record.url?scp=0026477402&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026477402&partnerID=8YFLogxK

U2 - 10.1016/0954-1810(92)90009-Q

DO - 10.1016/0954-1810(92)90009-Q

M3 - Article

AN - SCOPUS:0026477402

VL - 7

SP - 105

EP - 109

JO - Advanced Engineering Informatics

JF - Advanced Engineering Informatics

SN - 1474-0346

IS - 2

ER -