Abstract
Recently, Romdlony and Jayawardhana (2016) proposed control Lyapunov–Barrier functions (CLBFs) for the stabilization of nonlinear control systems while avoiding a bounded set of unsafe states. We demonstrate that CLBFs used in Romdlony and Jayawardhana (2016, Prop. 3 and 5) cannot exist. Critically, this implies that the examples discussed in Romdlony and Jayawardhana (2016) do not satisfy the stated assumptions on CLBFs.
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