AI 中文总结
该研究针对含时变编解码器的基于动态密钥LWE的加密状态反馈控制系统,推导保障渐近稳定性与防溢出数值安全的参数条件,经数值实例验证其有效性。
AI 中文摘要
本研究分析具有时变编码器和解码器的基于动态密钥学习误差(LWE)的加密状态反馈控制系统。采用基于李雅普诺夫的方法,推导时变编码器和解码器参数需满足的条件,以确保渐近稳定性并通过防止溢出保障数值安全性。数值实例验证了所推导条件的有效性。
英文摘要
This study analyzes dynamic-key Learning-with-Errors (LWE)-based encrypted state-feedback control systems with time-varying encoders and decoders. Using a Lyapunov-based approach, we derive conditions on the time-varying encoder and decoder parameters that ensure both asymptotic stability and numerical safety by preventing overflow. The validity of the derived conditions is confirmed through numerical examples.