Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming
Optimization and Control
2025-11-25 v2 Systems and Control
Systems and Control
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.
Keywords
Cite
@article{arxiv.2207.00321,
title = {Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming},
author = {Han Wang and Kostas Margellos and Antonis Papachristodoulou},
journal= {arXiv preprint arXiv:2207.00321},
year = {2025}
}
Comments
submitted to POEMA as an extended abstract