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EnglishWe consider a class of nonlinear systems of differential equations with uncertainties, i.e., with lack of knowledge in some of the parameters that is represented by a time-varying unknown bounded functions. An under-approximation of such systems consists of a subset of its reachable set, for any value of the unknown parameters. By relying on optimal control theory through Pontryagin’s principle, we provide an algorithm for the under-approximation of a linear combination of the state variables in terms of a fully automated tool-chain named UTOPIC. This allows to establish tight under-approximations of common benchmarks models with dimensions as large as sixty-five.
| Titolo: | UTOPIC: Under-approximation through optimal control |
| Autori: | |
| Data di pubblicazione: | 2019 |
| Serie: | |
| Handle: | http://hdl.handle.net/20.500.11771/16519 |
| ISBN: | 978-3-030-30280-1 978-3-030-30281-8 |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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http://hdl.handle.net/20.500.11771/16519
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