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arXiv · 2207.00321

Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming

Han Wang·Kostas Margellos·Antonis Papachristodoulou
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Abstract

Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple invariance-based method for linear systems with safety guarantee. The proposed method uses sum-of-squares programming.

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Han Wang, Kostas Margellos, Antonis Papachristodoulou. 2022-07-01. Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming. https://doi.org/10.1007/978-3-031-38659-6_7

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