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Converse Theorems for Safety and Barrier Certificates

An important tool for proving the safety of dynamical systems is the notion of a barrier certificate. In this paper, we prove that every robustly safe ordinary differential equation has… Click to show full abstract

An important tool for proving the safety of dynamical systems is the notion of a barrier certificate. In this paper, we prove that every robustly safe ordinary differential equation has a barrier certificate. Moreover, we show a construction of such a barrier certificate based on a set of states that is reachable in finite time.

Keywords: converse theorems; barrier; safety barrier; barrier certificate; safety; theorems safety

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2018

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