论文标题
基于耦合微分方程的不确定系统的最佳实验设计
Optimal Experimental Design for Uncertain Systems Based on Coupled Differential Equations
论文作者
论文摘要
我们考虑了不确定的库拉马托模型的最佳实验设计问题,该模型由n相互作用的振荡器组成,由耦合的普通微分方程描述。目的是设计实验,可以有效地减少振荡器之间耦合强度中存在的不确定性,从而最大程度地减少对不确定库拉莫托模型的强大控制成本。我们证明了量化潜在实验在设计最佳实验中的操作影响的重要性。
We consider the optimal experimental design problem for an uncertain Kuramoto model, which consists of N interacting oscillators described by coupled ordinary differential equations. The objective is to design experiments that can effectively reduce the uncertainty present in the coupling strengths between the oscillators, thereby minimizing the cost of robust control of the uncertain Kuramoto model. We demonstrate the importance of quantifying the operational impact of the potential experiments in designing optimal experiments.