Convergent Under-Approximations of Reachable Sets and Tubes for Linear Uncertain Systems

Mohamed Serry

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arXiv · 2002.04086

Convergent Under-Approximations of Reachable Sets and Tubes for Linear Uncertain Systems

Mohamed Serry

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Abstract

In this note, we propose a method to under-approximate finite-time reachable sets and tubes for a class of continuous-time linear uncertain systems. The class under consideration is the linear time-varying (LTV) class with integrable time-varying system matrices and uncertain initial and input values belonging to known convex compact sets. The proposed method depends upon the iterative use of constant-input reachable sets which results in convergent under-approximations in the sense of Hausdorff distance. We illustrate our approach through two numerical examples.

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BibTeX RIS

Mohamed Serry. 2020-02-10. Convergent Under-Approximations of Reachable Sets and Tubes for Linear Uncertain Systems. https://arxiv.org/abs/2002.04086

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