论文标题
网络系统上一系列最佳控制问题的统一分析框架
A unified analytical framework for a class of optimal control problems on networked systems
论文作者
论文摘要
我们考虑了网络上的一类最佳控制问题，这些问题通常允许将一组通用的参考问题降低，而没有分析可以解决的差异约束。该推导表明，整个网络的输入均匀性会导致普遍恒定的最佳控制输入。这些预测通过数值分析耦合相位振荡器的同步问题并在随着时间变化的网络上传播动态。
We consider a class of optimal control problems on networks that generically permits a reduction to a universal set of reference problems without differential constraints that may be solved analytically. The derivation shows that input homogeneity across the network results in universally constant optimal control inputs. These predictions are validated using numerical analysis of problems of synchronization of coupled phase oscillators and spreading dynamics on time-varying networks.
