Safe controlled invariance for linear systems using sum-of-squares programming

H Wang, K Margellos, A Papachristodoulou - arXiv preprint arXiv …, 2022 - arxiv.org
arXiv preprint arXiv:2207.00321, 2022arxiv.org
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.
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.
arxiv.org
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