论文标题
Schrödinger通过Feynman-Kac与Kuramoto见面：噪音不均匀库拉莫托振荡器的最低努力分配转向
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators
论文作者
论文摘要
我们为有限的端点接头之间的状态概率分布的有限地平线控制努力转向有限的网络噪声群体中的有限噪声嘈杂的非均匀kuramoto振荡器的最小控制努力转向。我们考虑了第一阶和二阶随机库拉莫托模型。对于相关随机最佳控制的数值解决方案，我们提出了将某些度量值近端递归和Feynman-KAC路径积分计算相结合。我们通过数值示例说明了提出的框架。
We formulate and solve the problem of finite horizon minimum control effort steering of the state probability distribution between prescribed endpoint joints for a finite population of networked noisy nonuniform Kuramoto oscillators. We consider both the first and second order stochastic Kuramoto models. For numerical solution of the associated stochastic optimal control, we propose combining certain measure-valued proximal recursions and the Feynman-Kac path integral computation. We illustrate the proposed framework via numerical examples.
