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[deps] | ||
Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" | ||
DocumenterCitations = "daee34ce-89f3-4625-b898-19384cb65244" | ||
IntervalArithmetic = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253" | ||
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Documenter = "1" | ||
DocumenterCitations = "1.3" | ||
IntervalArithmetic = "0.21, =0.21" # v0.22 changed the output format |
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# Bibliography | ||
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```@bibliography | ||
``` |
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@article{Liou66, | ||
title={A novel method of evaluating transient response}, | ||
author={Liou, ML}, | ||
journal={Proceedings of the {IEEE}}, | ||
volume={54}, | ||
number={1}, | ||
pages={20--23}, | ||
year={1966}, | ||
publisher={IEEE} | ||
} | ||
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@article{Rump99, | ||
title={Fast and parallel interval arithmetic}, | ||
author={Rump, Siegfried M}, | ||
journal={{BIT} Numerical Mathematics}, | ||
volume={39}, | ||
number={3}, | ||
pages={534--554}, | ||
year={1999}, | ||
publisher={Springer}, | ||
url={https://www.tuhh.de/ti3/paper/rump/Ru99b.pdf} | ||
} | ||
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@inproceedings{KoshelevaKMN05, | ||
author = {Olga Kosheleva and | ||
Vladik Kreinovich and | ||
G{\"{u}}nter Mayer and | ||
Hung T. Nguyen}, | ||
editor = {Hisham Haddad and | ||
Lorie M. Liebrock and | ||
Andrea Omicini and | ||
Roger L. Wainwright}, | ||
title = {Computing the cube of an interval matrix is NP-Hard}, | ||
booktitle = {Symposium on Applied Computing ({SAC})}, | ||
pages = {1449--1453}, | ||
publisher = {{ACM}}, | ||
year = {2005}, | ||
url = {https://doi.org/10.1145/1066677.1067007}, | ||
doi = {10.1145/1066677.1067007} | ||
} | ||
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@inproceedings{AlthoffSB07, | ||
author = {Matthias Althoff and | ||
Olaf Stursberg and | ||
Martin Buss}, | ||
title = {Reachability analysis of linear systems with uncertain parameters | ||
and inputs}, | ||
booktitle = {Conference on Decision and Control ({CDC})}, | ||
pages = {726--732}, | ||
publisher = {{IEEE}}, | ||
year = {2007}, | ||
url = {https://doi.org/10.1109/CDC.2007.4434084}, | ||
doi = {10.1109/CDC.2007.4434084} | ||
} | ||
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@inproceedings{AlthoffSB08, | ||
author = {Matthias Althoff and | ||
Olaf Stursberg and | ||
Martin Buss}, | ||
title = {Reachability analysis of nonlinear systems with uncertain parameters | ||
using conservative linearization}, | ||
booktitle = {Conference on Decision and Control ({CDC})}, | ||
pages = {4042--4048}, | ||
publisher = {{IEEE}}, | ||
year = {2008}, | ||
url = {https://doi.org/10.1109/CDC.2008.4738704}, | ||
doi = {10.1109/CDC.2008.4738704} | ||
} | ||
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@phdthesis{Althoff10, | ||
title={Reachability analysis and its application to the safety assessment of autonomous cars}, | ||
author={Althoff, Matthias}, | ||
year={2010}, | ||
school={Technische Universit{\"a}t M{\"u}nchen} | ||
} | ||
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@article{Rump10, | ||
author = {Siegfried M. Rump}, | ||
title = {Verification methods: Rigorous results using floating-point arithmetic}, | ||
journal = {Acta Numerica}, | ||
volume = {19}, | ||
pages = {287--449}, | ||
year = {2010}, | ||
url = {https://www.tuhh.de/ti3/paper/rump/Ru10.pdf}, | ||
doi = {10.1017/S096249291000005X} | ||
} | ||
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@article{AlthoffKS11, | ||
title={Analyzing reachability of linear dynamic systems with parametric uncertainties}, | ||
author={Althoff, Matthias and Krogh, Bruce H and Stursberg, Olaf}, | ||
journal={Modeling, Design, and Simulation of Systems with Uncertainties}, | ||
pages={69--94}, | ||
year={2011}, | ||
publisher={Springer} | ||
} | ||
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@article{GoldsztejnN14, | ||
author = {Alexandre Goldsztejn and | ||
Arnold Neumaier}, | ||
title = {On the Exponentiation of Interval Matrices}, | ||
journal = {Reliable Computing}, | ||
volume = {20}, | ||
pages = {53--72}, | ||
year = {2014}, | ||
url = {http://interval.louisiana.edu/reliable-computing-journal/volume-20/reliable-computing-20-pp-053-072.pdf} | ||
} |
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