论文标题

具有延迟的SIR模型的基于观察者的预测指标

Observer-based predictor for a SIR model with delays

论文作者

Mondié, Sabine, Castaños, Fernando

论文摘要

我们为SIR流行模型提出了一个观察者。然后将观察者提升为预测变量,以补偿输入和输出中的时间延迟。使用Lyapunov-Krasovskii函数确保了调整预测因子的调整标准,而估计错误的稳定性则确保。预测变量的性能与时间优化的控制相结合。我们表明,预测变量几乎恢复了无延迟系统的性能水平。

We propose an observer for a SIR epidemic model. The observer is then uplifted into a predictor to compensate for time delays in the input and the output. Tuning criteria are given for tuning gains of the predictor, while the estimation-error stability is ensured using Lyapunov-Krasovskii functionals. The predictor's performance is evaluated in combination with a time-optimal control. We show that the predictor nearly recovers the performance level of the delay-free system.

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