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arXiv · 2408.03918

Certification of Linear Inclusions for Nonlinear Systems

Yehia Abdelsalam·Sebastian Engell
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Abstract

In this work, we propose novel method for certifying if a given set of vertex linear systems constitute a linear difference inclusion for a nonlinear system. The method relies on formulating the verification of the inclusion as an optimization problem in a novel manner. The result is a Yes/No certificate. We illustrate how the method can be useful in obtaining less conservative linear enclosures for nonlinear systems.

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Yehia Abdelsalam, Sebastian Engell. 2024-08-07. Certification of Linear Inclusions for Nonlinear Systems. https://arxiv.org/abs/2408.03918

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