薛定谔通过Feynman-Kac遇到Kuramoto：噪声非均匀Kuramoto振荡器的最小努力分布转向
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators
摘要：
我们制定和解决的问题，有限时域最小控制努力指导的状态概率分布之间的规定端点关节的有限总体的网络噪声非均匀仓本振荡器。我们考虑一阶和二阶随机Kuramoto模型。对于相关随机最优控制的数值解，我们提出了将某些测度值近似递推与Feynman-Kac路径积分计算相结合的方法.我们通过数值例子说明了所提出的框架。
英文摘要：
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.
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