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.
Asymptotic stabilization of a system of coupled $n$th--order differential equations with potentially unbounded high-frequency oscillating perturbations
Diffusion-Based Stochastic Operator Networks for Uncertainty Quantification in Stochastic Partial Differential Equations
Department of Mathematics, Florida State University（佛罗里达州立大学数学系）；Computer Science and Mathematics Division, Oak Ridge National Laboratory（橡树岭国家实验室计算机科学与数学 division）
Corrigendum for "Second-order reflected backward stochastic differential equations" and "Second-order BSDEs with general reflection and game options under uncertainty"
Convergence of fictitious play for fully coupled FBSDEs in finite-player stochastic differential games
Saab AB（萨博公司）；Department of Mathematical Sciences, Chalmers University of Technology & University of Gothenburg（查尔姆斯理工大学与哥德堡大学数学科学系）；Department of Economics, University of Verona（维罗纳大学经济学系）；Department of Electrical Engineering, Chalmers University of Technology（查尔姆斯理工大学电气工程系）
