Optimal Control and Additive Perturbations Help in Estimating Ill-Posed and Uncertain Dynamical Systems
借助最优控制与加性扰动估计病态且不确定的动力系统
Ordinary differential equations (ODE) are routinely calibrated on real data for estimating unknown parameters or for reverse-engineering. Nevertheless, standard statistical techniques can give disappointing results because of the complex relationship between parameters and states, which makes the corresponding estimation problem ill-posed. Moreover, ODE are mechanistic models that are prone to modeling errors, whose influences on inference are often neglected during…