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arXiv · 1206.6563

Higher Order Methods for Differential Inclusions

Sanja Gonzalez Zivanovic·Pieter Collins
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Abstract

We present a numerical method for rigorous over-approximation of a reachable set of differential inclusions. The method gives high-order error bounds for single step approximations and a uniform bound on the error over the finite time interval. We provide formulas for the local error based on Lipschitz constants and bounds on higher-order derivatives. The method is based on a Fliess-like expansion, and extends previous results by providing error estimates which are valid for all possible inputs.

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Sanja Gonzalez Zivanovic, Pieter Collins. 2012-06-28. Higher Order Methods for Differential Inclusions. https://arxiv.org/abs/1206.6563

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