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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关于“使用控制李雅普诺夫–屏障功能确保安全的稳定化”的评论

最近，Romdlony和Jayawardhana（2016）提出了控制Lyapunov–势垒函数（CLBF），用于稳定非线性控制系统，同时避免了有界的不安全状态。我们证明了Romdlony和Jayawardhana（2016，Prop.3 and 5）中使用的CLBF不存在。至关重要的是，这意味着Romdlony和Jayawardhana（2016）中讨论的示例不满足关于CLBF的陈述假设。