Inner approximations of the maximal positively invariant set for polynomial dynamical systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00331573" target="_blank" >RIV/68407700:21230/19:00331573 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/LCSYS.2019.2916256" target="_blank" >https://doi.org/10.1109/LCSYS.2019.2916256</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LCSYS.2019.2916256" target="_blank" >10.1109/LCSYS.2019.2916256</a>

Result language
angličtina
Original language name
Inner approximations of the maximal positively invariant set for polynomial dynamical systems
Original language description
The Lasserre or moment-sum-of-square hierarchy of linear matrix inequality relaxations is used to compute inner approximations of the maximal positively invariant set for continuous-time dynamical systems with polynomial vector fields. Convergence in volume of the hierarchy is proved under a technical growth condition on the average exit time of trajectories. Our contribution is to deal with inner approximations in infinite time, while former work with volume convergence guarantees proposed either outer approximations of the maximal positively invariant set or inner approximations of the region of attraction in finite time.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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