Lie symmetries applied to interval integration
نویسندگان
چکیده
In this paper, we propose a new approach for improving significantly existing guaranteed integration methods state equations with uncertain initial conditions. We first find tube that encloses the solution of differential equation assuming is known. Then, using Lie symmetries, inflate in order to contain uncertainty associated state. The method shown be efficient on examples coming from reachability analysis and robotics.
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ژورنال
عنوان ژورنال: Automatica
سال: 2022
ISSN: ['1873-2836', '0005-1098']
DOI: https://doi.org/10.1016/j.automatica.2022.110502