Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning

@article{Li2022ControllingME,
  title={Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning},
  author={Yang Li and Shenglan Yuan and Shengyuan Xu},
  journal={ArXiv},
  year={2022},
  volume={abs/2209.13098}
}
The mean exit time escaping basin of attraction in the presence of white noise is of practical importance in various scientific fields. In this work, we propose a strategy to control mean exit time of general stochastic dynamical systems to achieve a desired value based on the quasipotential concept and machine learning. Specifically, we develop a neural network architecture to compute the global quasipotential function. Then we design a systematic iterated numerical algorithm to calculate the… 
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