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Creators/Authors contains: "Lyu, Ziliang"

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  1. ; ; ; (, Automatica)
    The paper studies the safety verification problem for nonlinear systems and focuses on the converse problem of zeroing barrier functions (ZBFs). We establish two necessary and sufficient conditions for the existence of a ZBF by solving the converse ZBF problem. Moreover, we also consider exponential barrier functions (EBFs), a special case of the ZBF, and provide a necessary and sufficient condition for the existence of an EBF when the state trajectory, starting from the interior of the safe set, cannot visit the boundary within finite time. 
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    Free, publicly-accessible full text available February 1, 2026