Computing ODE-Barriers in Hyper-Rectangles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00461476" target="_blank" >RIV/67985807:_____/16:00461476 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/SNR.2016.7479380" target="_blank" >http://dx.doi.org/10.1109/SNR.2016.7479380</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/SNR.2016.7479380" target="_blank" >10.1109/SNR.2016.7479380</a>

Result language
angličtina
Original language name
Computing ODE-Barriers in Hyper-Rectangles
Original language description
In this paper we develop a computationally cheap, but incomplete method for computing barriers of ordinary differential equations. We consider a barrier of an ODE to be a subset of the state-space such that no trajectory of the ODE can start inside of the barrier and end outside. We compute barriers that may serve as a certificate that no trajectory may lead from a given face of a hyper-rectangle to the opposite face. Such a method can be useful for more involved techniques for analyzing dynamical systems, especially for techniques based on abstraction.
Czech name
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Czech description
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Project
<a href="/en/project/GA15-14484S" target="_blank" >GA15-14484S: Simulation-Based Computation of Robust Invariants of Hybrid Dynamical Systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 2016 Workshop on Symbolic and Numerical Methods for Reachability Analysis (SNR)
ISBN
978-1-5090-3079-8
ISSN
—
e-ISSN
—
Number of pages
6
Pages from-to
—
Publisher name
IEEE
Place of publication
Piscataway
Event location
Vienna
Event date
Apr 11, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000382758100005

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