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.

中文翻译：

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一类网络系统最优控制问题的统一分析框架

我们考虑网络上的一类最优控制问题，这些问题通常允许减少到一组通用的参考问题，而没有可以通过分析解决的差分约束。推导表明，整个网络的输入同质性导致普遍恒定的最佳控制输入。这些预测通过对耦合相位振荡器同步问题和时变网络上的传播动力学问题的数值分析得到验证。