Converse Theorems for Safety and Barrier Certificates

Published 14 Jan 2017 in cs.SY | (1701.03948v5)

Abstract: An important tool for proving 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.

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Stefan Ratschan

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